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Finding the Third Proportional to 138.13 and 167.88

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Solution

The third proportional to 138.13 and 167.88 is: 204.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.13 : 167.88 = 167.88 : x
  2. Step 2: Convert to fraction form
    138.13/167.88 = 167.88/x
  3. Step 3: Cross multiply
    138.13x = 167.88 × 167.88
  4. Step 4: Simplify right side
    138.13x = 28,182.02
  5. Step 5: Solve for x
    x = 28,182.02/138.13
  6. Step 6: Final answer
    x = 204.03

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.