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Finding the Third Proportional to 41,174 and 85,831

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Solution

The third proportional to 41,174 and 85,831 is: 178,922.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,174 : 85,831 = 85,831 : x
  2. Step 2: Convert to fraction form
    41,174/85,831 = 85,831/x
  3. Step 3: Cross multiply
    41,174x = 85,831 × 85,831
  4. Step 4: Simplify right side
    41,174x = 7,366,960,561
  5. Step 5: Solve for x
    x = 7,366,960,561/41,174
  6. Step 6: Final answer
    x = 178,922.63

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.