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Finding the Third Proportional to 126,631 and 200,517

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Solution

The third proportional to 126,631 and 200,517 is: 317,513.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,631 : 200,517 = 200,517 : x
  2. Step 2: Convert to fraction form
    126,631/200,517 = 200,517/x
  3. Step 3: Cross multiply
    126,631x = 200,517 × 200,517
  4. Step 4: Simplify right side
    126,631x = 40,207,067,289
  5. Step 5: Solve for x
    x = 40,207,067,289/126,631
  6. Step 6: Final answer
    x = 317,513.62

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.