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Finding the Third Proportional to 126,938 and 275,757

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Solution

The third proportional to 126,938 and 275,757 is: 599,047.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,938 : 275,757 = 275,757 : x
  2. Step 2: Convert to fraction form
    126,938/275,757 = 275,757/x
  3. Step 3: Cross multiply
    126,938x = 275,757 × 275,757
  4. Step 4: Simplify right side
    126,938x = 76,041,923,049
  5. Step 5: Solve for x
    x = 76,041,923,049/126,938
  6. Step 6: Final answer
    x = 599,047.75

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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.