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Finding the Third Proportional to 126,612 and 274,792

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Solution

The third proportional to 126,612 and 274,792 is: 596,394.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,612 : 274,792 = 274,792 : x
  2. Step 2: Convert to fraction form
    126,612/274,792 = 274,792/x
  3. Step 3: Cross multiply
    126,612x = 274,792 × 274,792
  4. Step 4: Simplify right side
    126,612x = 75,510,643,264
  5. Step 5: Solve for x
    x = 75,510,643,264/126,612
  6. Step 6: Final answer
    x = 596,394.05

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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.