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Finding the Third Proportional to 83.94 and 138.84

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Solution

The third proportional to 83.94 and 138.84 is: 229.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.94 : 138.84 = 138.84 : x
  2. Step 2: Convert to fraction form
    83.94/138.84 = 138.84/x
  3. Step 3: Cross multiply
    83.94x = 138.84 × 138.84
  4. Step 4: Simplify right side
    83.94x = 19,277.59
  5. Step 5: Solve for x
    x = 19,277.59/83.94
  6. Step 6: Final answer
    x = 229.67

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.