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Finding the Third Proportional to 54 and 72.19

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Solution

The third proportional to 54 and 72.19 is: 96.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54 : 72.19 = 72.19 : x
  2. Step 2: Convert to fraction form
    54/72.19 = 72.19/x
  3. Step 3: Cross multiply
    54x = 72.19 × 72.19
  4. Step 4: Simplify right side
    54x = 5,211.04
  5. Step 5: Solve for x
    x = 5,211.04/54
  6. Step 6: Final answer
    x = 96.50

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.