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Finding the Third Proportional to 96.19 and 132.89

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Solution

The third proportional to 96.19 and 132.89 is: 183.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.19 : 132.89 = 132.89 : x
  2. Step 2: Convert to fraction form
    96.19/132.89 = 132.89/x
  3. Step 3: Cross multiply
    96.19x = 132.89 × 132.89
  4. Step 4: Simplify right side
    96.19x = 17,659.92
  5. Step 5: Solve for x
    x = 17,659.92/96.19
  6. Step 6: Final answer
    x = 183.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.