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Finding the Third Proportional to 37,704 and 81,962

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Solution

The third proportional to 37,704 and 81,962 is: 178,171.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,704 : 81,962 = 81,962 : x
  2. Step 2: Convert to fraction form
    37,704/81,962 = 81,962/x
  3. Step 3: Cross multiply
    37,704x = 81,962 × 81,962
  4. Step 4: Simplify right side
    37,704x = 6,717,769,444
  5. Step 5: Solve for x
    x = 6,717,769,444/37,704
  6. Step 6: Final answer
    x = 178,171.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.