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Finding the Third Proportional to 60,331.50 and 91,791

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Solution

The third proportional to 60,331.50 and 91,791 is: 139,654.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,331.50 : 91,791 = 91,791 : x
  2. Step 2: Convert to fraction form
    60,331.50/91,791 = 91,791/x
  3. Step 3: Cross multiply
    60,331.50x = 91,791 × 91,791
  4. Step 4: Simplify right side
    60,331.50x = 8,425,587,681
  5. Step 5: Solve for x
    x = 8,425,587,681/60,331.50
  6. Step 6: Final answer
    x = 139,654.87

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.