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Finding the Third Proportional to 41,121 and 85,474

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Solution

The third proportional to 41,121 and 85,474 is: 177,666.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,121 : 85,474 = 85,474 : x
  2. Step 2: Convert to fraction form
    41,121/85,474 = 85,474/x
  3. Step 3: Cross multiply
    41,121x = 85,474 × 85,474
  4. Step 4: Simplify right side
    41,121x = 7,305,804,676
  5. Step 5: Solve for x
    x = 7,305,804,676/41,121
  6. Step 6: Final answer
    x = 177,666.03

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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.