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Finding the Third Proportional to 126,917 and 275,050

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Solution

The third proportional to 126,917 and 275,050 is: 596,078.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,917 : 275,050 = 275,050 : x
  2. Step 2: Convert to fraction form
    126,917/275,050 = 275,050/x
  3. Step 3: Cross multiply
    126,917x = 275,050 × 275,050
  4. Step 4: Simplify right side
    126,917x = 75,652,502,500
  5. Step 5: Solve for x
    x = 75,652,502,500/126,917
  6. Step 6: Final answer
    x = 596,078.56

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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.