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Finding the Third Proportional to 76,861 and 167,186

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Solution

The third proportional to 76,861 and 167,186 is: 363,658.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,861 : 167,186 = 167,186 : x
  2. Step 2: Convert to fraction form
    76,861/167,186 = 167,186/x
  3. Step 3: Cross multiply
    76,861x = 167,186 × 167,186
  4. Step 4: Simplify right side
    76,861x = 27,951,158,596
  5. Step 5: Solve for x
    x = 27,951,158,596/76,861
  6. Step 6: Final answer
    x = 363,658.53

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Why These Related Problems?

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