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Finding the Third Proportional to 58,560 and 87,681

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Solution

The third proportional to 58,560 and 87,681 is: 131,283.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,560 : 87,681 = 87,681 : x
  2. Step 2: Convert to fraction form
    58,560/87,681 = 87,681/x
  3. Step 3: Cross multiply
    58,560x = 87,681 × 87,681
  4. Step 4: Simplify right side
    58,560x = 7,687,957,761
  5. Step 5: Solve for x
    x = 7,687,957,761/58,560
  6. Step 6: Final answer
    x = 131,283.43

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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.