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Finding the Third Proportional to 67,872 and 149,073

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Solution

The third proportional to 67,872 and 149,073 is: 327,421.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,872 : 149,073 = 149,073 : x
  2. Step 2: Convert to fraction form
    67,872/149,073 = 149,073/x
  3. Step 3: Cross multiply
    67,872x = 149,073 × 149,073
  4. Step 4: Simplify right side
    67,872x = 22,222,759,329
  5. Step 5: Solve for x
    x = 22,222,759,329/67,872
  6. Step 6: Final answer
    x = 327,421.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.