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Finding the Third Proportional to 71,839 and 156,112.88

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Solution

The third proportional to 71,839 and 156,112.88 is: 339,247.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,839 : 156,112.88 = 156,112.88 : x
  2. Step 2: Convert to fraction form
    71,839/156,112.88 = 156,112.88/x
  3. Step 3: Cross multiply
    71,839x = 156,112.88 × 156,112.88
  4. Step 4: Simplify right side
    71,839x = 24,371,229,740.77
  5. Step 5: Solve for x
    x = 24,371,229,740.77/71,839
  6. Step 6: Final answer
    x = 339,247.90

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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.