\(n_{KClO_3}=\dfrac{61,25}{122,5}=0,5\left(mol\right)\\ 2KClO_3\rightarrow\left(t^o\right)2KCl+3O_2\uparrow\\ n_{O_2}=\dfrac{3}{2}.0,5=0,75\left(mol\right)\\ \Rightarrow m_{O_2}=32.0,75=24\left(g\right)\\ 2KMnO_4\rightarrow\left(t^o\right)K_2MnO_4+MnO_2+O_2\uparrow\\ n_{KMnO_4}=2.n_{O_2}=2.0,75=1,5\left(mol\right)\\ \Rightarrow m_{KMnO_4}=158.1,5=237\left(g\right)\)