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Finding the Third Proportional to 76,876 and 167,215

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Solution

The third proportional to 76,876 and 167,215 is: 363,713.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,876 : 167,215 = 167,215 : x
  2. Step 2: Convert to fraction form
    76,876/167,215 = 167,215/x
  3. Step 3: Cross multiply
    76,876x = 167,215 × 167,215
  4. Step 4: Simplify right side
    76,876x = 27,960,856,225
  5. Step 5: Solve for x
    x = 27,960,856,225/76,876
  6. Step 6: Final answer
    x = 363,713.72

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