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Rodriguez won his first 20 professional fights, losing for the first time by TKO on January 16 of 1969, when he was stopped due to cuts in the sixth round of a fight with Pete Gonzalez at Olympic Auditorium in Los Angeles.
Marquez earned the bantamweight title shot after defeating Ignacio Pina by unanimous decision on December 15, 1961 and Carlos Hernandez by decision on October 19, 1961 in bantamweight title eliminators at the Olympic Auditorium in Los Angeles.