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Finding the Third Proportional to 126,235.50 and 273,930

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Solution

The third proportional to 126,235.50 and 273,930 is: 594,425.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,235.50 : 273,930 = 273,930 : x
  2. Step 2: Convert to fraction form
    126,235.50/273,930 = 273,930/x
  3. Step 3: Cross multiply
    126,235.50x = 273,930 × 273,930
  4. Step 4: Simplify right side
    126,235.50x = 75,037,644,900
  5. Step 5: Solve for x
    x = 75,037,644,900/126,235.50
  6. Step 6: Final answer
    x = 594,425.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.