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Finding the Third Proportional to 126,555 and 267,339.75

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Solution

The third proportional to 126,555 and 267,339.75 is: 564,738.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,555 : 267,339.75 = 267,339.75 : x
  2. Step 2: Convert to fraction form
    126,555/267,339.75 = 267,339.75/x
  3. Step 3: Cross multiply
    126,555x = 267,339.75 × 267,339.75
  4. Step 4: Simplify right side
    126,555x = 71,470,541,930.06
  5. Step 5: Solve for x
    x = 71,470,541,930.06/126,555
  6. Step 6: Final answer
    x = 564,738.98

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.