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Finding the Third Proportional to 126,236.50 and 273,932

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Solution

The third proportional to 126,236.50 and 273,932 is: 594,429.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,236.50 : 273,932 = 273,932 : x
  2. Step 2: Convert to fraction form
    126,236.50/273,932 = 273,932/x
  3. Step 3: Cross multiply
    126,236.50x = 273,932 × 273,932
  4. Step 4: Simplify right side
    126,236.50x = 75,038,740,624
  5. Step 5: Solve for x
    x = 75,038,740,624/126,236.50
  6. Step 6: Final answer
    x = 594,429.83

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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.