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Finding the Third Proportional to 118.60 and 179.48

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Solution

The third proportional to 118.60 and 179.48 is: 271.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.60 : 179.48 = 179.48 : x
  2. Step 2: Convert to fraction form
    118.60/179.48 = 179.48/x
  3. Step 3: Cross multiply
    118.60x = 179.48 × 179.48
  4. Step 4: Simplify right side
    118.60x = 32,213.59
  5. Step 5: Solve for x
    x = 32,213.59/118.60
  6. Step 6: Final answer
    x = 271.62

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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.