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Finding the Third Proportional to 126,996 and 270,432

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Solution

The third proportional to 126,996 and 270,432 is: 575,872.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,996 : 270,432 = 270,432 : x
  2. Step 2: Convert to fraction form
    126,996/270,432 = 270,432/x
  3. Step 3: Cross multiply
    126,996x = 270,432 × 270,432
  4. Step 4: Simplify right side
    126,996x = 73,133,466,624
  5. Step 5: Solve for x
    x = 73,133,466,624/126,996
  6. Step 6: Final answer
    x = 575,872.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.