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Finding the Third Proportional to 118.93 and 179.94

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Solution

The third proportional to 118.93 and 179.94 is: 272.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.93 : 179.94 = 179.94 : x
  2. Step 2: Convert to fraction form
    118.93/179.94 = 179.94/x
  3. Step 3: Cross multiply
    118.93x = 179.94 × 179.94
  4. Step 4: Simplify right side
    118.93x = 32,377.06
  5. Step 5: Solve for x
    x = 32,377.06/118.93
  6. Step 6: Final answer
    x = 272.23

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.