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Finding the Third Proportional to 80,822 and 108,719

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Solution

The third proportional to 80,822 and 108,719 is: 146,245.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,822 : 108,719 = 108,719 : x
  2. Step 2: Convert to fraction form
    80,822/108,719 = 108,719/x
  3. Step 3: Cross multiply
    80,822x = 108,719 × 108,719
  4. Step 4: Simplify right side
    80,822x = 11,819,820,961
  5. Step 5: Solve for x
    x = 11,819,820,961/80,822
  6. Step 6: Final answer
    x = 146,245.09

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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.