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Finding the Third Proportional to 79,731 and 173,474

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Solution

The third proportional to 79,731 and 173,474 is: 377,434.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,731 : 173,474 = 173,474 : x
  2. Step 2: Convert to fraction form
    79,731/173,474 = 173,474/x
  3. Step 3: Cross multiply
    79,731x = 173,474 × 173,474
  4. Step 4: Simplify right side
    79,731x = 30,093,228,676
  5. Step 5: Solve for x
    x = 30,093,228,676/79,731
  6. Step 6: Final answer
    x = 377,434.48

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.