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Finding the Third Proportional to 126,948 and 275,742

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Solution

The third proportional to 126,948 and 275,742 is: 598,935.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,948 : 275,742 = 275,742 : x
  2. Step 2: Convert to fraction form
    126,948/275,742 = 275,742/x
  3. Step 3: Cross multiply
    126,948x = 275,742 × 275,742
  4. Step 4: Simplify right side
    126,948x = 76,033,650,564
  5. Step 5: Solve for x
    x = 76,033,650,564/126,948
  6. Step 6: Final answer
    x = 598,935.40

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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.