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Finding the Third Proportional to 67,969 and 149,762

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Solution

The third proportional to 67,969 and 149,762 is: 329,983.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,969 : 149,762 = 149,762 : x
  2. Step 2: Convert to fraction form
    67,969/149,762 = 149,762/x
  3. Step 3: Cross multiply
    67,969x = 149,762 × 149,762
  4. Step 4: Simplify right side
    67,969x = 22,428,656,644
  5. Step 5: Solve for x
    x = 22,428,656,644/67,969
  6. Step 6: Final answer
    x = 329,983.62

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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.