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Finding the Third Proportional to 84.09 and 122.91

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Solution

The third proportional to 84.09 and 122.91 is: 179.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.09 : 122.91 = 122.91 : x
  2. Step 2: Convert to fraction form
    84.09/122.91 = 122.91/x
  3. Step 3: Cross multiply
    84.09x = 122.91 × 122.91
  4. Step 4: Simplify right side
    84.09x = 15,105.95
  5. Step 5: Solve for x
    x = 15,105.95/84.09
  6. Step 6: Final answer
    x = 179.63

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.