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Finding the Third Proportional to 67.41 and 107.34

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Solution

The third proportional to 67.41 and 107.34 is: 170.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.41 : 107.34 = 107.34 : x
  2. Step 2: Convert to fraction form
    67.41/107.34 = 107.34/x
  3. Step 3: Cross multiply
    67.41x = 107.34 × 107.34
  4. Step 4: Simplify right side
    67.41x = 11,522.68
  5. Step 5: Solve for x
    x = 11,522.68/67.41
  6. Step 6: Final answer
    x = 170.94

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.