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Finding the Third Proportional to 76,016 and 161,874

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Solution

The third proportional to 76,016 and 161,874 is: 344,706.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,016 : 161,874 = 161,874 : x
  2. Step 2: Convert to fraction form
    76,016/161,874 = 161,874/x
  3. Step 3: Cross multiply
    76,016x = 161,874 × 161,874
  4. Step 4: Simplify right side
    76,016x = 26,203,191,876
  5. Step 5: Solve for x
    x = 26,203,191,876/76,016
  6. Step 6: Final answer
    x = 344,706.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.