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Finding the Third Proportional to 89.06 and 132.56

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Solution

The third proportional to 89.06 and 132.56 is: 197.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.06 : 132.56 = 132.56 : x
  2. Step 2: Convert to fraction form
    89.06/132.56 = 132.56/x
  3. Step 3: Cross multiply
    89.06x = 132.56 × 132.56
  4. Step 4: Simplify right side
    89.06x = 17,572.82
  5. Step 5: Solve for x
    x = 17,572.82/89.06
  6. Step 6: Final answer
    x = 197.31

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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.