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Finding the Third Proportional to 126,692 and 200,601

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Solution

The third proportional to 126,692 and 200,601 is: 317,626.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,692 : 200,601 = 200,601 : x
  2. Step 2: Convert to fraction form
    126,692/200,601 = 200,601/x
  3. Step 3: Cross multiply
    126,692x = 200,601 × 200,601
  4. Step 4: Simplify right side
    126,692x = 40,240,761,201
  5. Step 5: Solve for x
    x = 40,240,761,201/126,692
  6. Step 6: Final answer
    x = 317,626.69

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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.