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Finding the Third Proportional to 79,062 and 173,675

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Solution

The third proportional to 79,062 and 173,675 is: 381,510.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,062 : 173,675 = 173,675 : x
  2. Step 2: Convert to fraction form
    79,062/173,675 = 173,675/x
  3. Step 3: Cross multiply
    79,062x = 173,675 × 173,675
  4. Step 4: Simplify right side
    79,062x = 30,163,005,625
  5. Step 5: Solve for x
    x = 30,163,005,625/79,062
  6. Step 6: Final answer
    x = 381,510.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.