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Finding the Third Proportional to 79,009 and 173,474

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Solution

The third proportional to 79,009 and 173,474 is: 380,883.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,009 : 173,474 = 173,474 : x
  2. Step 2: Convert to fraction form
    79,009/173,474 = 173,474/x
  3. Step 3: Cross multiply
    79,009x = 173,474 × 173,474
  4. Step 4: Simplify right side
    79,009x = 30,093,228,676
  5. Step 5: Solve for x
    x = 30,093,228,676/79,009
  6. Step 6: Final answer
    x = 380,883.55

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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.