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Finding the Third Proportional to 79.69 and 123.66

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Solution

The third proportional to 79.69 and 123.66 is: 191.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.69 : 123.66 = 123.66 : x
  2. Step 2: Convert to fraction form
    79.69/123.66 = 123.66/x
  3. Step 3: Cross multiply
    79.69x = 123.66 × 123.66
  4. Step 4: Simplify right side
    79.69x = 15,290.87
  5. Step 5: Solve for x
    x = 15,290.87/79.69
  6. Step 6: Final answer
    x = 191.89

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.