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Finding the Third Proportional to 63,666 and 133,730

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Solution

The third proportional to 63,666 and 133,730 is: 280,898.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,666 : 133,730 = 133,730 : x
  2. Step 2: Convert to fraction form
    63,666/133,730 = 133,730/x
  3. Step 3: Cross multiply
    63,666x = 133,730 × 133,730
  4. Step 4: Simplify right side
    63,666x = 17,883,712,900
  5. Step 5: Solve for x
    x = 17,883,712,900/63,666
  6. Step 6: Final answer
    x = 280,898.96

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Why These Related Problems?

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