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Finding the Third Proportional to 117,676 and 179,593

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Solution

The third proportional to 117,676 and 179,593 is: 274,088.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,676 : 179,593 = 179,593 : x
  2. Step 2: Convert to fraction form
    117,676/179,593 = 179,593/x
  3. Step 3: Cross multiply
    117,676x = 179,593 × 179,593
  4. Step 4: Simplify right side
    117,676x = 32,253,645,649
  5. Step 5: Solve for x
    x = 32,253,645,649/117,676
  6. Step 6: Final answer
    x = 274,088.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.