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Finding the Third Proportional to 112.54 and 151.24

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Solution

The third proportional to 112.54 and 151.24 is: 203.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.54 : 151.24 = 151.24 : x
  2. Step 2: Convert to fraction form
    112.54/151.24 = 151.24/x
  3. Step 3: Cross multiply
    112.54x = 151.24 × 151.24
  4. Step 4: Simplify right side
    112.54x = 22,874.20
  5. Step 5: Solve for x
    x = 22,874.20/112.54
  6. Step 6: Final answer
    x = 203.26

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.