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Finding the Third Proportional to 96.40 and 144.70

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Solution

The third proportional to 96.40 and 144.70 is: 217.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.40 : 144.70 = 144.70 : x
  2. Step 2: Convert to fraction form
    96.40/144.70 = 144.70/x
  3. Step 3: Cross multiply
    96.40x = 144.70 × 144.70
  4. Step 4: Simplify right side
    96.40x = 20,938.99
  5. Step 5: Solve for x
    x = 20,938.99/96.40
  6. Step 6: Final answer
    x = 217.21

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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.