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Finding the Third Proportional to 84,918 and 108,909

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Solution

The third proportional to 84,918 and 108,909 is: 139,677.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,918 : 108,909 = 108,909 : x
  2. Step 2: Convert to fraction form
    84,918/108,909 = 108,909/x
  3. Step 3: Cross multiply
    84,918x = 108,909 × 108,909
  4. Step 4: Simplify right side
    84,918x = 11,861,170,281
  5. Step 5: Solve for x
    x = 11,861,170,281/84,918
  6. Step 6: Final answer
    x = 139,677.93

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.