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Finding the Third Proportional to 79,193 and 115,225

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Solution

The third proportional to 79,193 and 115,225 is: 167,651.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,193 : 115,225 = 115,225 : x
  2. Step 2: Convert to fraction form
    79,193/115,225 = 115,225/x
  3. Step 3: Cross multiply
    79,193x = 115,225 × 115,225
  4. Step 4: Simplify right side
    79,193x = 13,276,800,625
  5. Step 5: Solve for x
    x = 13,276,800,625/79,193
  6. Step 6: Final answer
    x = 167,651.19

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.