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Finding the Third Proportional to 57,691.50 and 124,609.13

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Solution

The third proportional to 57,691.50 and 124,609.13 is: 269,145.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,691.50 : 124,609.13 = 124,609.13 : x
  2. Step 2: Convert to fraction form
    57,691.50/124,609.13 = 124,609.13/x
  3. Step 3: Cross multiply
    57,691.50x = 124,609.13 × 124,609.13
  4. Step 4: Simplify right side
    57,691.50x = 15,527,434,033.27
  5. Step 5: Solve for x
    x = 15,527,434,033.27/57,691.50
  6. Step 6: Final answer
    x = 269,145.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.