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TripleManía III-B was the sixth overall TripleManía wrestling show promoted by Asistencia Asesoría y Administración (AAA). 1995 was second year to feature the "TripleManía Series" of shows with 3, referred to as III-A, III-B and III-C, where this was the second of the series. The show took place on June 18, 1995 in Tonala, Mexico. The Main event featured a Best two out of three falls Luchas de Apuestas "Mask vs. Mask" match where both Winners and Marabunta put their mask on the line.
The event featured seven professional wrestling matches with different wrestlers involved in pre-existing scripted feuds, plots and storylines. Wrestlers were portrayed as either villains (referred to as rudos in Mexico) or fan favorites (técnicos in Mexico) as they followed a series of tension-building events, which culminated in a wrestling match or series of matches.
- Las Gemas del Ring (Zafiro, Brillante, Diamante) defeated Perro Silva, Karloff Lagarde, Jr. and Mr. Cóndor - (Diamante pinned Mr. Cóndor) in a Six-man "Lucha Libre rules" tag team match (9:39)
- Los Destructores (Tony Arce, Vulcano, Rocco Valente), May Flowers, and Pimpinela Escarlata defeated Los Power Raiders (Raider Rojo, Raider Blanco, Raider Verde, Raider Negro and Raider Azur) - (Vulcano pinned Raider Rojo) in a Eight-man "Atómicos" tag team match (9:37)
- Torerito, Super Muñequito, Octagóncito and Mascarita Sagrada defeated Fuercita Guerrera, La Parkita, Espectrito I and Espectrito II - (Super Muñequito pinned Espectrito I) in an Eight-man "Atómicos" tag team match (9:32)
- El Hijo del Santo, Octagón, Rey Misterio, Jr. and La Parka defeated Pentagón, Blue Panther, Psicosis and Fuerza Guerrera in an Eight-man "Atómicos" tag team match (19:58)
- Fall One: El Hijo de Santo pinned Psicosis and Octagón pinned Fuerza Guerrera
- Fall Two: Pentagón pinned Octagon
- Fall Three: El Hijo del Santo pinned Blue Panther and Rey Misterio Jr. pinned Pentagón
- Cien Caras (C) and Máscara Año 2000 (C) defeated Perro Aguayo and Konnan in a Best two out of three falls Tag team match. Cien Caras’ UWA World Heavyweight Championship and Mascara Año 2000’s IWC Heavyweight Championship were both on the line in the third fall (27:39)
- Fall One: Perro Aguayo was pinned and Konnan submitted
- Fall Two: Perro Aguayo pinned Mascara Año 2000, Cien Caras pinned Perro Aguayo, and Konnan forced Cien Caras to submit
- Fall Three: Konnan pinned Cien Caras, Mascaras Año 2000 pinned Konnan, and Perro Aguayo was disqualified so the champions retained
- Winners defeated Marabunta in a Best two out of three falls Luchas de Apuestas "Mask vs. Mask" match. As a result of his loss Marabunta was forced to unmask (23:26)
- Fall One: Marabunta forced Winners to submit
- Fall Two: Winners pinned Marabunta
- Fall Three: Winners forced Marabunta to submit