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Finding the Third Proportional to 73.69 and 110.81

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Solution

The third proportional to 73.69 and 110.81 is: 166.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.69 : 110.81 = 110.81 : x
  2. Step 2: Convert to fraction form
    73.69/110.81 = 110.81/x
  3. Step 3: Cross multiply
    73.69x = 110.81 × 110.81
  4. Step 4: Simplify right side
    73.69x = 12,279.41
  5. Step 5: Solve for x
    x = 12,279.41/73.69
  6. Step 6: Final answer
    x = 166.64

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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.