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Finding the Third Proportional to 63,542 and 137,545

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Solution

The third proportional to 63,542 and 137,545 is: 297,734.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,542 : 137,545 = 137,545 : x
  2. Step 2: Convert to fraction form
    63,542/137,545 = 137,545/x
  3. Step 3: Cross multiply
    63,542x = 137,545 × 137,545
  4. Step 4: Simplify right side
    63,542x = 18,918,627,025
  5. Step 5: Solve for x
    x = 18,918,627,025/63,542
  6. Step 6: Final answer
    x = 297,734.21

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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.