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Finding the Third Proportional to 54,443 and 81,665

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Solution

The third proportional to 54,443 and 81,665 is: 122,498.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,443 : 81,665 = 81,665 : x
  2. Step 2: Convert to fraction form
    54,443/81,665 = 81,665/x
  3. Step 3: Cross multiply
    54,443x = 81,665 × 81,665
  4. Step 4: Simplify right side
    54,443x = 6,669,172,225
  5. Step 5: Solve for x
    x = 6,669,172,225/54,443
  6. Step 6: Final answer
    x = 122,498.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.