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Finding the Third Proportional to 101.20 and 154.97

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Solution

The third proportional to 101.20 and 154.97 is: 237.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.20 : 154.97 = 154.97 : x
  2. Step 2: Convert to fraction form
    101.20/154.97 = 154.97/x
  3. Step 3: Cross multiply
    101.20x = 154.97 × 154.97
  4. Step 4: Simplify right side
    101.20x = 24,015.31
  5. Step 5: Solve for x
    x = 24,015.31/101.20
  6. Step 6: Final answer
    x = 237.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.