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Finding the Third Proportional to 71,939.81 and 156,481.31

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Solution

The third proportional to 71,939.81 and 156,481.31 is: 340,373.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,939.81 : 156,481.31 = 156,481.31 : x
  2. Step 2: Convert to fraction form
    71,939.81/156,481.31 = 156,481.31/x
  3. Step 3: Cross multiply
    71,939.81x = 156,481.31 × 156,481.31
  4. Step 4: Simplify right side
    71,939.81x = 24,486,401,161.72
  5. Step 5: Solve for x
    x = 24,486,401,161.72/71,939.81
  6. Step 6: Final answer
    x = 340,373.44

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.