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Finding the Third Proportional to 54 and 87.56

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Solution

The third proportional to 54 and 87.56 is: 141.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    54 : 87.56 = 87.56 : x
  2. Step 2: Convert to fraction form
    54/87.56 = 87.56/x
  3. Step 3: Cross multiply
    54x = 87.56 × 87.56
  4. Step 4: Simplify right side
    54x = 7,667.19
  5. Step 5: Solve for x
    x = 7,667.19/54
  6. Step 6: Final answer
    x = 141.99

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.