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Finding the Third Proportional to 112.78 and 169.17

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Solution

The third proportional to 112.78 and 169.17 is: 253.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.78 : 169.17 = 169.17 : x
  2. Step 2: Convert to fraction form
    112.78/169.17 = 169.17/x
  3. Step 3: Cross multiply
    112.78x = 169.17 × 169.17
  4. Step 4: Simplify right side
    112.78x = 28,619.12
  5. Step 5: Solve for x
    x = 28,619.12/112.78
  6. Step 6: Final answer
    x = 253.76

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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.