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Finding the Third Proportional to 101.11 and 151.52

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Solution

The third proportional to 101.11 and 151.52 is: 227.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.11 : 151.52 = 151.52 : x
  2. Step 2: Convert to fraction form
    101.11/151.52 = 151.52/x
  3. Step 3: Cross multiply
    101.11x = 151.52 × 151.52
  4. Step 4: Simplify right side
    101.11x = 22,959.35
  5. Step 5: Solve for x
    x = 22,959.35/101.11
  6. Step 6: Final answer
    x = 227.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.