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Finding the Third Proportional to 68,912 and 150,744

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Solution

The third proportional to 68,912 and 150,744 is: 329,750.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,912 : 150,744 = 150,744 : x
  2. Step 2: Convert to fraction form
    68,912/150,744 = 150,744/x
  3. Step 3: Cross multiply
    68,912x = 150,744 × 150,744
  4. Step 4: Simplify right side
    68,912x = 22,723,753,536
  5. Step 5: Solve for x
    x = 22,723,753,536/68,912
  6. Step 6: Final answer
    x = 329,750.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.