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Finding the Third Proportional to 71,425.97 and 106,789.22

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Solution

The third proportional to 71,425.97 and 106,789.22 is: 159,660.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,425.97 : 106,789.22 = 106,789.22 : x
  2. Step 2: Convert to fraction form
    71,425.97/106,789.22 = 106,789.22/x
  3. Step 3: Cross multiply
    71,425.97x = 106,789.22 × 106,789.22
  4. Step 4: Simplify right side
    71,425.97x = 11,403,937,241.24
  5. Step 5: Solve for x
    x = 11,403,937,241.24/71,425.97
  6. Step 6: Final answer
    x = 159,660.94

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Why These Related Problems?

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