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Finding the Third Proportional to 71,942 and 158,162

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Solution

The third proportional to 71,942 and 158,162 is: 347,713.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,942 : 158,162 = 158,162 : x
  2. Step 2: Convert to fraction form
    71,942/158,162 = 158,162/x
  3. Step 3: Cross multiply
    71,942x = 158,162 × 158,162
  4. Step 4: Simplify right side
    71,942x = 25,015,218,244
  5. Step 5: Solve for x
    x = 25,015,218,244/71,942
  6. Step 6: Final answer
    x = 347,713.69

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.