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Finding the Third Proportional to 112 and 142.75

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Solution

The third proportional to 112 and 142.75 is: 181.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    112 : 142.75 = 142.75 : x
  2. Step 2: Convert to fraction form
    112/142.75 = 142.75/x
  3. Step 3: Cross multiply
    112x = 142.75 × 142.75
  4. Step 4: Simplify right side
    112x = 20,377.56
  5. Step 5: Solve for x
    x = 20,377.56/112
  6. Step 6: Final answer
    x = 181.94

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.