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Finding the Third Proportional to 96.03 and 144.30

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Solution

The third proportional to 96.03 and 144.30 is: 216.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.03 : 144.30 = 144.30 : x
  2. Step 2: Convert to fraction form
    96.03/144.30 = 144.30/x
  3. Step 3: Cross multiply
    96.03x = 144.30 × 144.30
  4. Step 4: Simplify right side
    96.03x = 20,821.59
  5. Step 5: Solve for x
    x = 20,821.59/96.03
  6. Step 6: Final answer
    x = 216.82

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