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Finding the Third Proportional to 54 and 86.25

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Solution

The third proportional to 54 and 86.25 is: 137.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    54 : 86.25 = 86.25 : x
  2. Step 2: Convert to fraction form
    54/86.25 = 86.25/x
  3. Step 3: Cross multiply
    54x = 86.25 × 86.25
  4. Step 4: Simplify right side
    54x = 7,439.06
  5. Step 5: Solve for x
    x = 7,439.06/54
  6. Step 6: Final answer
    x = 137.76

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.