The neighboring rulers' children would be brought to Cuzco to be taught about Inca administration systems, and then would return to rule their native lands. This allowed the Inca to indoctrinate the former rulers' children into the Inca nobility, and, with luck, marry their daughters into families at various corners of the empire.
So the Inca had their own School of the Americas too? Just how much bad karma did they acquire in their short reign?