$\mathbb Z \oplus \mathbb Z \oplus \mathbb Q \equiv \mathbb Z \oplus \mathbb Q \oplus \mathbb Q$?

Question

Is it true that in signature $\{0,+,=\}$ of abelian groups $\mathbb Z \oplus \mathbb Z \oplus \mathbb Q \equiv \mathbb Z \oplus \mathbb Q \oplus \mathbb Q$? ($ M \equiv M'$ iff $Th (M) = Th (M')$). (Are $\mathbb Z \oplus \mathbb Z \oplus \mathbb Q$ and $\mathbb Z \oplus \mathbb Q \oplus \mathbb Q$ elementarily equivalent?)