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I mean. Donkey+Horse = Mule, but the mule is sterile same with Tiger+Lion = Liger. I would assume they were closer relatives than that.

A liger isn't sterile. It does have a lower chance of conception though

Technically a mule also has a lower chance of conception.

Pedantic note:

Female Tiger + Male Lion = Liger.

Male Tiger + Female Lion = Tigon.