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Finding the Third Proportional to 57,952.88 and 126,979.13

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Solution

The third proportional to 57,952.88 and 126,979.13 is: 278,220.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,952.88 : 126,979.13 = 126,979.13 : x
  2. Step 2: Convert to fraction form
    57,952.88/126,979.13 = 126,979.13/x
  3. Step 3: Cross multiply
    57,952.88x = 126,979.13 × 126,979.13
  4. Step 4: Simplify right side
    57,952.88x = 16,123,698,185.77
  5. Step 5: Solve for x
    x = 16,123,698,185.77/57,952.88
  6. Step 6: Final answer
    x = 278,220.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.