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Finding the Third Proportional to 67.38 and 147.13

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Solution

The third proportional to 67.38 and 147.13 is: 321.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.38 : 147.13 = 147.13 : x
  2. Step 2: Convert to fraction form
    67.38/147.13 = 147.13/x
  3. Step 3: Cross multiply
    67.38x = 147.13 × 147.13
  4. Step 4: Simplify right side
    67.38x = 21,645.77
  5. Step 5: Solve for x
    x = 21,645.77/67.38
  6. Step 6: Final answer
    x = 321.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.