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Finding the Third Proportional to 84.44 and 128.94

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Solution

The third proportional to 84.44 and 128.94 is: 196.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.44 : 128.94 = 128.94 : x
  2. Step 2: Convert to fraction form
    84.44/128.94 = 128.94/x
  3. Step 3: Cross multiply
    84.44x = 128.94 × 128.94
  4. Step 4: Simplify right side
    84.44x = 16,624.88
  5. Step 5: Solve for x
    x = 16,624.88/84.44
  6. Step 6: Final answer
    x = 196.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.