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Finding the Third Proportional to 67.38 and 144.38

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Solution

The third proportional to 67.38 and 144.38 is: 309.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.38 : 144.38 = 144.38 : x
  2. Step 2: Convert to fraction form
    67.38/144.38 = 144.38/x
  3. Step 3: Cross multiply
    67.38x = 144.38 × 144.38
  4. Step 4: Simplify right side
    67.38x = 20,844.14
  5. Step 5: Solve for x
    x = 20,844.14/67.38
  6. Step 6: Final answer
    x = 309.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.