Explanation:

To find the related number pair, we need to identify the pattern in the given pair $(28, 65)$. \nStep 1: Analyze the given pair $(28, 65)$.\nWe can observe that $28$ is close to a cube, $3^3 = 27$. So, $28 = 3^3 + 1$.\nSimilarly, $65$ is close to a cube, $4^3 = 64$. So, $65 = 4^3 + 1$.\nThus, the pattern for the pair $(x, y)$ is $(n^3 + 1, (n+1)^3 + 1)$ for some integer $n$. \nStep 2: Check each option against this pattern.\nOption A: $(37, 50)$\nFor $37$: $3^3+1 = 28$, $4^3+1 = 65$. $37$ does not fit the $n^3+1$ form directly (e.g., $3^3+1 = 28$, $4^3+1 = 65$). $37$ is not $n^3+1$ for any integer $n$. Thus, this option is incorrect. \nOption B: $(2, 10)$\nFor $2$: $1^3 + 1 = 1^3 + 1 = 2$. So $n=1$.\nFor $10$: According to the pattern, the second number should be $(1+1)^3 + 1 = 2^3 + 1 = 8 + 1 = 9$. However, the given second number is $10$. Thus, this option is incorrect. \nOption C: $(126, 217)$\nFor $126$: We know $5^3 = 125$. So, $126 = 5^3 + 1$. Here $n=5$.\nFor $217$: According to the pattern, the second number should be $(5+1)^3 + 1 = 6^3 + 1 = 216 + 1 = 217$. This matches the given second number.\nThis option perfectly fits the established pattern. \nOption D: $(26, 65)$\nFor $26$: We know $3^3 = 27$. So, $26 = 3^3 - 1$. This is not $n^3+1$.\nFor $65$: This is $4^3+1$. Since the first number does not follow the $n^3+1$ pattern, this option is incorrect. \nTherefore, the pair $(126, 217)$ follows the same relationship as $(28, 65)$.