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Finding the Third Proportional to 126,124 and 275,932

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Solution

The third proportional to 126,124 and 275,932 is: 603,679.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,124 : 275,932 = 275,932 : x
  2. Step 2: Convert to fraction form
    126,124/275,932 = 275,932/x
  3. Step 3: Cross multiply
    126,124x = 275,932 × 275,932
  4. Step 4: Simplify right side
    126,124x = 76,138,468,624
  5. Step 5: Solve for x
    x = 76,138,468,624/126,124
  6. Step 6: Final answer
    x = 603,679.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.