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Finding the Third Proportional to 89.38 and 132.88

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Solution

The third proportional to 89.38 and 132.88 is: 197.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.38 : 132.88 = 132.88 : x
  2. Step 2: Convert to fraction form
    89.38/132.88 = 132.88/x
  3. Step 3: Cross multiply
    89.38x = 132.88 × 132.88
  4. Step 4: Simplify right side
    89.38x = 17,655.77
  5. Step 5: Solve for x
    x = 17,655.77/89.38
  6. Step 6: Final answer
    x = 197.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.