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Finding the Third Proportional to 67,842.56 and 149,217.19

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Solution

The third proportional to 67,842.56 and 149,217.19 is: 328,197.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,842.56 : 149,217.19 = 149,217.19 : x
  2. Step 2: Convert to fraction form
    67,842.56/149,217.19 = 149,217.19/x
  3. Step 3: Cross multiply
    67,842.56x = 149,217.19 × 149,217.19
  4. Step 4: Simplify right side
    67,842.56x = 22,265,769,045.41
  5. Step 5: Solve for x
    x = 22,265,769,045.41/67,842.56
  6. Step 6: Final answer
    x = 328,197.64

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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.