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Finding the Third Proportional to 126,610.59 and 270,170.44

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Solution

The third proportional to 126,610.59 and 270,170.44 is: 576,508.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,610.59 : 270,170.44 = 270,170.44 : x
  2. Step 2: Convert to fraction form
    126,610.59/270,170.44 = 270,170.44/x
  3. Step 3: Cross multiply
    126,610.59x = 270,170.44 × 270,170.44
  4. Step 4: Simplify right side
    126,610.59x = 72,992,065,298.94
  5. Step 5: Solve for x
    x = 72,992,065,298.94/126,610.59
  6. Step 6: Final answer
    x = 576,508.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.