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Finding the Third Proportional to 149.66 and 167.41

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Solution

The third proportional to 149.66 and 167.41 is: 187.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.66 : 167.41 = 167.41 : x
  2. Step 2: Convert to fraction form
    149.66/167.41 = 167.41/x
  3. Step 3: Cross multiply
    149.66x = 167.41 × 167.41
  4. Step 4: Simplify right side
    149.66x = 28,026.68
  5. Step 5: Solve for x
    x = 28,026.68/149.66
  6. Step 6: Final answer
    x = 187.27

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.