Which three of the following were motivating ideas for Latin American revolutionary leaders?

maintaining ties with Spain for economic progress

successful revolutions in other countries

the publication of The Social Contract by Jean Jacques Rousseau

the publication of Common Sense by John Locke

the concept of equality among men

I'd say the concept of equality, the publication of Common Sense, and successful revolutions

I would say the three things here that inspired the Latin American revolutionaries like Simon Bolivar in Venezuela and Colombia and Bernardo O'Higgins in Chile were the concept of equality of men, successful revolutions in other countries like the fledgling US against the colonial power Great Britain, and the publication of the Social Contract by Jean Jacques Rousseau.