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Finding the Third Proportional to 81.94 and 113.81

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Solution

The third proportional to 81.94 and 113.81 is: 158.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.94 : 113.81 = 113.81 : x
  2. Step 2: Convert to fraction form
    81.94/113.81 = 113.81/x
  3. Step 3: Cross multiply
    81.94x = 113.81 × 113.81
  4. Step 4: Simplify right side
    81.94x = 12,953.29
  5. Step 5: Solve for x
    x = 12,953.29/81.94
  6. Step 6: Final answer
    x = 158.09

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.