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Finding the Third Proportional to 126,760.57 and 273,819.23

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Solution

The third proportional to 126,760.57 and 273,819.23 is: 591,484.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,760.57 : 273,819.23 = 273,819.23 : x
  2. Step 2: Convert to fraction form
    126,760.57/273,819.23 = 273,819.23/x
  3. Step 3: Cross multiply
    126,760.57x = 273,819.23 × 273,819.23
  4. Step 4: Simplify right side
    126,760.57x = 74,976,973,113.71
  5. Step 5: Solve for x
    x = 74,976,973,113.71/126,760.57
  6. Step 6: Final answer
    x = 591,484.98

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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.