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Finding the Third Proportional to 112.34 and 173.47

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Solution

The third proportional to 112.34 and 173.47 is: 267.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.34 : 173.47 = 173.47 : x
  2. Step 2: Convert to fraction form
    112.34/173.47 = 173.47/x
  3. Step 3: Cross multiply
    112.34x = 173.47 × 173.47
  4. Step 4: Simplify right side
    112.34x = 30,091.41
  5. Step 5: Solve for x
    x = 30,091.41/112.34
  6. Step 6: Final answer
    x = 267.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.