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Finding the Third Proportional to 71,988.75 and 107,233.13

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Solution

The third proportional to 71,988.75 and 107,233.13 is: 159,732.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,988.75 : 107,233.13 = 107,233.13 : x
  2. Step 2: Convert to fraction form
    71,988.75/107,233.13 = 107,233.13/x
  3. Step 3: Cross multiply
    71,988.75x = 107,233.13 × 107,233.13
  4. Step 4: Simplify right side
    71,988.75x = 11,498,943,097.27
  5. Step 5: Solve for x
    x = 11,498,943,097.27/71,988.75
  6. Step 6: Final answer
    x = 159,732.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.