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Finding the Third Proportional to 41,982 and 92,256

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Solution

The third proportional to 41,982 and 92,256 is: 202,733.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,982 : 92,256 = 92,256 : x
  2. Step 2: Convert to fraction form
    41,982/92,256 = 92,256/x
  3. Step 3: Cross multiply
    41,982x = 92,256 × 92,256
  4. Step 4: Simplify right side
    41,982x = 8,511,169,536
  5. Step 5: Solve for x
    x = 8,511,169,536/41,982
  6. Step 6: Final answer
    x = 202,733.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.