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Finding the Third Proportional to 80,800 and 108,692

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Solution

The third proportional to 80,800 and 108,692 is: 146,212.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,800 : 108,692 = 108,692 : x
  2. Step 2: Convert to fraction form
    80,800/108,692 = 108,692/x
  3. Step 3: Cross multiply
    80,800x = 108,692 × 108,692
  4. Step 4: Simplify right side
    80,800x = 11,813,950,864
  5. Step 5: Solve for x
    x = 11,813,950,864/80,800
  6. Step 6: Final answer
    x = 146,212.26

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.