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Finding the Third Proportional to 96.05 and 144.19

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Solution

The third proportional to 96.05 and 144.19 is: 216.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.05 : 144.19 = 144.19 : x
  2. Step 2: Convert to fraction form
    96.05/144.19 = 144.19/x
  3. Step 3: Cross multiply
    96.05x = 144.19 × 144.19
  4. Step 4: Simplify right side
    96.05x = 20,790.04
  5. Step 5: Solve for x
    x = 20,790.04/96.05
  6. Step 6: Final answer
    x = 216.46

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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.