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Finding the Third Proportional to 94.85 and 144.25

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Solution

The third proportional to 94.85 and 144.25 is: 219.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.85 : 144.25 = 144.25 : x
  2. Step 2: Convert to fraction form
    94.85/144.25 = 144.25/x
  3. Step 3: Cross multiply
    94.85x = 144.25 × 144.25
  4. Step 4: Simplify right side
    94.85x = 20,806.94
  5. Step 5: Solve for x
    x = 20,806.94/94.85
  6. Step 6: Final answer
    x = 219.36

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.