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Finding the Third Proportional to 63,613 and 84,109

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Solution

The third proportional to 63,613 and 84,109 is: 111,208.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,613 : 84,109 = 84,109 : x
  2. Step 2: Convert to fraction form
    63,613/84,109 = 84,109/x
  3. Step 3: Cross multiply
    63,613x = 84,109 × 84,109
  4. Step 4: Simplify right side
    63,613x = 7,074,323,881
  5. Step 5: Solve for x
    x = 7,074,323,881/63,613
  6. Step 6: Final answer
    x = 111,208.78

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.