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Finding the Third Proportional to 126,680 and 275,264

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Solution

The third proportional to 126,680 and 275,264 is: 598,123.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,680 : 275,264 = 275,264 : x
  2. Step 2: Convert to fraction form
    126,680/275,264 = 275,264/x
  3. Step 3: Cross multiply
    126,680x = 275,264 × 275,264
  4. Step 4: Simplify right side
    126,680x = 75,770,269,696
  5. Step 5: Solve for x
    x = 75,770,269,696/126,680
  6. Step 6: Final answer
    x = 598,123.38

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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.