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Finding the Third Proportional to 54.50 and 97.25

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Solution

The third proportional to 54.50 and 97.25 is: 173.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.50 : 97.25 = 97.25 : x
  2. Step 2: Convert to fraction form
    54.50/97.25 = 97.25/x
  3. Step 3: Cross multiply
    54.50x = 97.25 × 97.25
  4. Step 4: Simplify right side
    54.50x = 9,457.56
  5. Step 5: Solve for x
    x = 9,457.56/54.50
  6. Step 6: Final answer
    x = 173.53

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.