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Finding the Third Proportional to 95.66 and 144.18

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Solution

The third proportional to 95.66 and 144.18 is: 217.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.66 : 144.18 = 144.18 : x
  2. Step 2: Convert to fraction form
    95.66/144.18 = 144.18/x
  3. Step 3: Cross multiply
    95.66x = 144.18 × 144.18
  4. Step 4: Simplify right side
    95.66x = 20,786.66
  5. Step 5: Solve for x
    x = 20,786.66/95.66
  6. Step 6: Final answer
    x = 217.30

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Why These Related Problems?

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