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Finding the Third Proportional to 81,241.13 and 175,327.13

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Solution

The third proportional to 81,241.13 and 175,327.13 is: 378,374.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,241.13 : 175,327.13 = 175,327.13 : x
  2. Step 2: Convert to fraction form
    81,241.13/175,327.13 = 175,327.13/x
  3. Step 3: Cross multiply
    81,241.13x = 175,327.13 × 175,327.13
  4. Step 4: Simplify right side
    81,241.13x = 30,739,600,760.77
  5. Step 5: Solve for x
    x = 30,739,600,760.77/81,241.13
  6. Step 6: Final answer
    x = 378,374.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.