The Relation between force between the two poles in free space and medium

Reason & Explanation:
Force between the two poles in free space is $F_a=\frac{{\mu }_o}{4\pi }\frac{m{}_{1}m_2}{r^2}$ ----------(1)
Force between the two poles in free space is  $F_m=\frac{\mu }{4\pi }\frac{m_1{m}_2}{r^2}$-----------(2)
(2)/(1)  $\Rightarrow$
 $\frac{F_m}{F_a}=\frac{\mu }{{\mu }_0}={\mu }_r$
Magnetic permeability of free space
$\mu \to$  Magnetic permeability of medium
${\mu }_r\to$ Relative permeability of medium