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Finding the Third Proportional to 54.75 and 97

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Solution

The third proportional to 54.75 and 97 is: 171.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.75 : 97 = 97 : x
  2. Step 2: Convert to fraction form
    54.75/97 = 97/x
  3. Step 3: Cross multiply
    54.75x = 97 × 97
  4. Step 4: Simplify right side
    54.75x = 9,409
  5. Step 5: Solve for x
    x = 9,409/54.75
  6. Step 6: Final answer
    x = 171.85

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.