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Finding the Third Proportional to 60,127.31 and 129,883.50

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Solution

The third proportional to 60,127.31 and 129,883.50 is: 280,566.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,127.31 : 129,883.50 = 129,883.50 : x
  2. Step 2: Convert to fraction form
    60,127.31/129,883.50 = 129,883.50/x
  3. Step 3: Cross multiply
    60,127.31x = 129,883.50 × 129,883.50
  4. Step 4: Simplify right side
    60,127.31x = 16,869,723,572.25
  5. Step 5: Solve for x
    x = 16,869,723,572.25/60,127.31
  6. Step 6: Final answer
    x = 280,566.73

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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.