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Finding the Third Proportional to 79.69 and 112.31

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Solution

The third proportional to 79.69 and 112.31 is: 158.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.69 : 112.31 = 112.31 : x
  2. Step 2: Convert to fraction form
    79.69/112.31 = 112.31/x
  3. Step 3: Cross multiply
    79.69x = 112.31 × 112.31
  4. Step 4: Simplify right side
    79.69x = 12,614.10
  5. Step 5: Solve for x
    x = 12,614.10/79.69
  6. Step 6: Final answer
    x = 158.29

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.