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Finding the Third Proportional to 126,747 and 275,391

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Solution

The third proportional to 126,747 and 275,391 is: 598,358.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,747 : 275,391 = 275,391 : x
  2. Step 2: Convert to fraction form
    126,747/275,391 = 275,391/x
  3. Step 3: Cross multiply
    126,747x = 275,391 × 275,391
  4. Step 4: Simplify right side
    126,747x = 75,840,202,881
  5. Step 5: Solve for x
    x = 75,840,202,881/126,747
  6. Step 6: Final answer
    x = 598,358.96

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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.