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Finding the Third Proportional to 101.11 and 136.27

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Solution

The third proportional to 101.11 and 136.27 is: 183.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.11 : 136.27 = 136.27 : x
  2. Step 2: Convert to fraction form
    101.11/136.27 = 136.27/x
  3. Step 3: Cross multiply
    101.11x = 136.27 × 136.27
  4. Step 4: Simplify right side
    101.11x = 18,568.32
  5. Step 5: Solve for x
    x = 18,568.32/101.11
  6. Step 6: Final answer
    x = 183.65

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.