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Finding the Third Proportional to 95.99 and 144.09

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Solution

The third proportional to 95.99 and 144.09 is: 216.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.99 : 144.09 = 144.09 : x
  2. Step 2: Convert to fraction form
    95.99/144.09 = 144.09/x
  3. Step 3: Cross multiply
    95.99x = 144.09 × 144.09
  4. Step 4: Simplify right side
    95.99x = 20,761.32
  5. Step 5: Solve for x
    x = 20,761.32/95.99
  6. Step 6: Final answer
    x = 216.28

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Why These Related Problems?

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