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Finding the Third Proportional to 67,984.13 and 149,427.38

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Solution

The third proportional to 67,984.13 and 149,427.38 is: 328,437.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,984.13 : 149,427.38 = 149,427.38 : x
  2. Step 2: Convert to fraction form
    67,984.13/149,427.38 = 149,427.38/x
  3. Step 3: Cross multiply
    67,984.13x = 149,427.38 × 149,427.38
  4. Step 4: Simplify right side
    67,984.13x = 22,328,540,399.39
  5. Step 5: Solve for x
    x = 22,328,540,399.39/67,984.13
  6. Step 6: Final answer
    x = 328,437.56

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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.