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Finding the Third Proportional to 43,850 and 95,092

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Solution

The third proportional to 43,850 and 95,092 is: 206,214.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,850 : 95,092 = 95,092 : x
  2. Step 2: Convert to fraction form
    43,850/95,092 = 95,092/x
  3. Step 3: Cross multiply
    43,850x = 95,092 × 95,092
  4. Step 4: Simplify right side
    43,850x = 9,042,488,464
  5. Step 5: Solve for x
    x = 9,042,488,464/43,850
  6. Step 6: Final answer
    x = 206,214.10

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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.