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Finding the Third Proportional to 50,231 and 105,630

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Solution

The third proportional to 50,231 and 105,630 is: 222,127.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,231 : 105,630 = 105,630 : x
  2. Step 2: Convert to fraction form
    50,231/105,630 = 105,630/x
  3. Step 3: Cross multiply
    50,231x = 105,630 × 105,630
  4. Step 4: Simplify right side
    50,231x = 11,157,696,900
  5. Step 5: Solve for x
    x = 11,157,696,900/50,231
  6. Step 6: Final answer
    x = 222,127.71

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.