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Finding the Third Proportional to 80,902 and 126,634

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Solution

The third proportional to 80,902 and 126,634 is: 198,217.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,902 : 126,634 = 126,634 : x
  2. Step 2: Convert to fraction form
    80,902/126,634 = 126,634/x
  3. Step 3: Cross multiply
    80,902x = 126,634 × 126,634
  4. Step 4: Simplify right side
    80,902x = 16,036,169,956
  5. Step 5: Solve for x
    x = 16,036,169,956/80,902
  6. Step 6: Final answer
    x = 198,217.23

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.