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Finding the Third Proportional to 112.93 and 169.39

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Solution

The third proportional to 112.93 and 169.39 is: 254.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.93 : 169.39 = 169.39 : x
  2. Step 2: Convert to fraction form
    112.93/169.39 = 169.39/x
  3. Step 3: Cross multiply
    112.93x = 169.39 × 169.39
  4. Step 4: Simplify right side
    112.93x = 28,693.33
  5. Step 5: Solve for x
    x = 28,693.33/112.93
  6. Step 6: Final answer
    x = 254.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.