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Finding the Third Proportional to 72.81 and 109.19

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Solution

The third proportional to 72.81 and 109.19 is: 163.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.81 : 109.19 = 109.19 : x
  2. Step 2: Convert to fraction form
    72.81/109.19 = 109.19/x
  3. Step 3: Cross multiply
    72.81x = 109.19 × 109.19
  4. Step 4: Simplify right side
    72.81x = 11,921.91
  5. Step 5: Solve for x
    x = 11,921.91/72.81
  6. Step 6: Final answer
    x = 163.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.