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Finding the Third Proportional to 100,416 and 137,691

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Solution

The third proportional to 100,416 and 137,691 is: 188,802.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,416 : 137,691 = 137,691 : x
  2. Step 2: Convert to fraction form
    100,416/137,691 = 137,691/x
  3. Step 3: Cross multiply
    100,416x = 137,691 × 137,691
  4. Step 4: Simplify right side
    100,416x = 18,958,811,481
  5. Step 5: Solve for x
    x = 18,958,811,481/100,416
  6. Step 6: Final answer
    x = 188,802.70

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.