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Finding the Third Proportional to 92,275 and 200,542

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Solution

The third proportional to 92,275 and 200,542 is: 435,839.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,275 : 200,542 = 200,542 : x
  2. Step 2: Convert to fraction form
    92,275/200,542 = 200,542/x
  3. Step 3: Cross multiply
    92,275x = 200,542 × 200,542
  4. Step 4: Simplify right side
    92,275x = 40,217,093,764
  5. Step 5: Solve for x
    x = 40,217,093,764/92,275
  6. Step 6: Final answer
    x = 435,839.54

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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.