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Finding the Third Proportional to 41,739 and 92,805

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Solution

The third proportional to 41,739 and 92,805 is: 206,348.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,739 : 92,805 = 92,805 : x
  2. Step 2: Convert to fraction form
    41,739/92,805 = 92,805/x
  3. Step 3: Cross multiply
    41,739x = 92,805 × 92,805
  4. Step 4: Simplify right side
    41,739x = 8,612,768,025
  5. Step 5: Solve for x
    x = 8,612,768,025/41,739
  6. Step 6: Final answer
    x = 206,348.21

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.