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Finding the Third Proportional to 43.69 and 92.72

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Solution

The third proportional to 43.69 and 92.72 is: 196.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.69 : 92.72 = 92.72 : x
  2. Step 2: Convert to fraction form
    43.69/92.72 = 92.72/x
  3. Step 3: Cross multiply
    43.69x = 92.72 × 92.72
  4. Step 4: Simplify right side
    43.69x = 8,596.77
  5. Step 5: Solve for x
    x = 8,596.77/43.69
  6. Step 6: Final answer
    x = 196.78

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.