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Finding the Third Proportional to 60,132.38 and 129,798.56

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Solution

The third proportional to 60,132.38 and 129,798.56 is: 280,176.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,132.38 : 129,798.56 = 129,798.56 : x
  2. Step 2: Convert to fraction form
    60,132.38/129,798.56 = 129,798.56/x
  3. Step 3: Cross multiply
    60,132.38x = 129,798.56 × 129,798.56
  4. Step 4: Simplify right side
    60,132.38x = 16,847,666,827.07
  5. Step 5: Solve for x
    x = 16,847,666,827.07/60,132.38
  6. Step 6: Final answer
    x = 280,176.31

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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.