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Finding the Third Proportional to 36,474 and 80,601

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Solution

The third proportional to 36,474 and 80,601 is: 178,113.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,474 : 80,601 = 80,601 : x
  2. Step 2: Convert to fraction form
    36,474/80,601 = 80,601/x
  3. Step 3: Cross multiply
    36,474x = 80,601 × 80,601
  4. Step 4: Simplify right side
    36,474x = 6,496,521,201
  5. Step 5: Solve for x
    x = 6,496,521,201/36,474
  6. Step 6: Final answer
    x = 178,113.76

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.