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Finding the Third Proportional to 71,841.56 and 156,118.88

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Solution

The third proportional to 71,841.56 and 156,118.88 is: 339,261.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,841.56 : 156,118.88 = 156,118.88 : x
  2. Step 2: Convert to fraction form
    71,841.56/156,118.88 = 156,118.88/x
  3. Step 3: Cross multiply
    71,841.56x = 156,118.88 × 156,118.88
  4. Step 4: Simplify right side
    71,841.56x = 24,373,103,131.27
  5. Step 5: Solve for x
    x = 24,373,103,131.27/71,841.56
  6. Step 6: Final answer
    x = 339,261.87

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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.