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Finding the Third Proportional to 126,959 and 270,367

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Solution

The third proportional to 126,959 and 270,367 is: 575,763.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,959 : 270,367 = 270,367 : x
  2. Step 2: Convert to fraction form
    126,959/270,367 = 270,367/x
  3. Step 3: Cross multiply
    126,959x = 270,367 × 270,367
  4. Step 4: Simplify right side
    126,959x = 73,098,314,689
  5. Step 5: Solve for x
    x = 73,098,314,689/126,959
  6. Step 6: Final answer
    x = 575,763.16

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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.