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Finding the Third Proportional to 67,944 and 138,912

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Solution

The third proportional to 67,944 and 138,912 is: 284,006.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,944 : 138,912 = 138,912 : x
  2. Step 2: Convert to fraction form
    67,944/138,912 = 138,912/x
  3. Step 3: Cross multiply
    67,944x = 138,912 × 138,912
  4. Step 4: Simplify right side
    67,944x = 19,296,543,744
  5. Step 5: Solve for x
    x = 19,296,543,744/67,944
  6. Step 6: Final answer
    x = 284,006.59

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.