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Finding the Third Proportional to 76,145 and 167,098

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Solution

The third proportional to 76,145 and 167,098 is: 366,691.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,145 : 167,098 = 167,098 : x
  2. Step 2: Convert to fraction form
    76,145/167,098 = 167,098/x
  3. Step 3: Cross multiply
    76,145x = 167,098 × 167,098
  4. Step 4: Simplify right side
    76,145x = 27,921,741,604
  5. Step 5: Solve for x
    x = 27,921,741,604/76,145
  6. Step 6: Final answer
    x = 366,691.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.