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Finding the Third Proportional to 63,841.13 and 102,865.17

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Solution

The third proportional to 63,841.13 and 102,865.17 is: 165,743.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,841.13 : 102,865.17 = 102,865.17 : x
  2. Step 2: Convert to fraction form
    63,841.13/102,865.17 = 102,865.17/x
  3. Step 3: Cross multiply
    63,841.13x = 102,865.17 × 102,865.17
  4. Step 4: Simplify right side
    63,841.13x = 10,581,244,187.60
  5. Step 5: Solve for x
    x = 10,581,244,187.60/63,841.13
  6. Step 6: Final answer
    x = 165,743.37

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.