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Finding the Third Proportional to 126,162.56 and 273,921.75

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Solution

The third proportional to 126,162.56 and 273,921.75 is: 594,733.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,162.56 : 273,921.75 = 273,921.75 : x
  2. Step 2: Convert to fraction form
    126,162.56/273,921.75 = 273,921.75/x
  3. Step 3: Cross multiply
    126,162.56x = 273,921.75 × 273,921.75
  4. Step 4: Simplify right side
    126,162.56x = 75,033,125,123.06
  5. Step 5: Solve for x
    x = 75,033,125,123.06/126,162.56
  6. Step 6: Final answer
    x = 594,733.68

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