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Finding the Third Proportional to 71,892 and 156,000

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Solution

The third proportional to 71,892 and 156,000 is: 338,507.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,892 : 156,000 = 156,000 : x
  2. Step 2: Convert to fraction form
    71,892/156,000 = 156,000/x
  3. Step 3: Cross multiply
    71,892x = 156,000 × 156,000
  4. Step 4: Simplify right side
    71,892x = 24,336,000,000
  5. Step 5: Solve for x
    x = 24,336,000,000/71,892
  6. Step 6: Final answer
    x = 338,507.76

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.