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Finding the Third Proportional to 71,329 and 151,874

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Solution

The third proportional to 71,329 and 151,874 is: 323,370.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,329 : 151,874 = 151,874 : x
  2. Step 2: Convert to fraction form
    71,329/151,874 = 151,874/x
  3. Step 3: Cross multiply
    71,329x = 151,874 × 151,874
  4. Step 4: Simplify right side
    71,329x = 23,065,711,876
  5. Step 5: Solve for x
    x = 23,065,711,876/71,329
  6. Step 6: Final answer
    x = 323,370.75

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