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Finding the Third Proportional to 71,867.25 and 151,183.13

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Solution

The third proportional to 71,867.25 and 151,183.13 is: 318,035.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,867.25 : 151,183.13 = 151,183.13 : x
  2. Step 2: Convert to fraction form
    71,867.25/151,183.13 = 151,183.13/x
  3. Step 3: Cross multiply
    71,867.25x = 151,183.13 × 151,183.13
  4. Step 4: Simplify right side
    71,867.25x = 22,856,337,284.77
  5. Step 5: Solve for x
    x = 22,856,337,284.77/71,867.25
  6. Step 6: Final answer
    x = 318,035.51

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.