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Finding the Third Proportional to 112.15 and 160.55

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Solution

The third proportional to 112.15 and 160.55 is: 229.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.15 : 160.55 = 160.55 : x
  2. Step 2: Convert to fraction form
    112.15/160.55 = 160.55/x
  3. Step 3: Cross multiply
    112.15x = 160.55 × 160.55
  4. Step 4: Simplify right side
    112.15x = 25,775.30
  5. Step 5: Solve for x
    x = 25,775.30/112.15
  6. Step 6: Final answer
    x = 229.83

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.