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Finding the Third Proportional to 62,306.72 and 137,074.78

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Solution

The third proportional to 62,306.72 and 137,074.78 is: 301,564.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,306.72 : 137,074.78 = 137,074.78 : x
  2. Step 2: Convert to fraction form
    62,306.72/137,074.78 = 137,074.78/x
  3. Step 3: Cross multiply
    62,306.72x = 137,074.78 × 137,074.78
  4. Step 4: Simplify right side
    62,306.72x = 18,789,495,654.74
  5. Step 5: Solve for x
    x = 18,789,495,654.74/62,306.72
  6. Step 6: Final answer
    x = 301,564.52

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.