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Finding the Third Proportional to 71,982 and 158,238

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Solution

The third proportional to 71,982 and 158,238 is: 347,854.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,982 : 158,238 = 158,238 : x
  2. Step 2: Convert to fraction form
    71,982/158,238 = 158,238/x
  3. Step 3: Cross multiply
    71,982x = 158,238 × 158,238
  4. Step 4: Simplify right side
    71,982x = 25,039,264,644
  5. Step 5: Solve for x
    x = 25,039,264,644/71,982
  6. Step 6: Final answer
    x = 347,854.53

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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.