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Finding the Third Proportional to 41,571 and 85,593

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Solution

The third proportional to 41,571 and 85,593 is: 176,232.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,571 : 85,593 = 85,593 : x
  2. Step 2: Convert to fraction form
    41,571/85,593 = 85,593/x
  3. Step 3: Cross multiply
    41,571x = 85,593 × 85,593
  4. Step 4: Simplify right side
    41,571x = 7,326,161,649
  5. Step 5: Solve for x
    x = 7,326,161,649/41,571
  6. Step 6: Final answer
    x = 176,232.51

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.