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Finding the Third Proportional to 98.24 and 144.52

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Solution

The third proportional to 98.24 and 144.52 is: 212.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.24 : 144.52 = 144.52 : x
  2. Step 2: Convert to fraction form
    98.24/144.52 = 144.52/x
  3. Step 3: Cross multiply
    98.24x = 144.52 × 144.52
  4. Step 4: Simplify right side
    98.24x = 20,885.61
  5. Step 5: Solve for x
    x = 20,885.61/98.24
  6. Step 6: Final answer
    x = 212.59

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.