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Finding the Third Proportional to 126,171.11 and 277,945.49

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Solution

The third proportional to 126,171.11 and 277,945.49 is: 612,293.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,171.11 : 277,945.49 = 277,945.49 : x
  2. Step 2: Convert to fraction form
    126,171.11/277,945.49 = 277,945.49/x
  3. Step 3: Cross multiply
    126,171.11x = 277,945.49 × 277,945.49
  4. Step 4: Simplify right side
    126,171.11x = 77,253,694,455.90
  5. Step 5: Solve for x
    x = 77,253,694,455.90/126,171.11
  6. Step 6: Final answer
    x = 612,293.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.