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Finding the Third Proportional to 45,976 and 71,474

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Solution

The third proportional to 45,976 and 71,474 is: 111,113.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,976 : 71,474 = 71,474 : x
  2. Step 2: Convert to fraction form
    45,976/71,474 = 71,474/x
  3. Step 3: Cross multiply
    45,976x = 71,474 × 71,474
  4. Step 4: Simplify right side
    45,976x = 5,108,532,676
  5. Step 5: Solve for x
    x = 5,108,532,676/45,976
  6. Step 6: Final answer
    x = 111,113.03

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.