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Finding the Third Proportional to 84.44 and 122.03

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Solution

The third proportional to 84.44 and 122.03 is: 176.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.44 : 122.03 = 122.03 : x
  2. Step 2: Convert to fraction form
    84.44/122.03 = 122.03/x
  3. Step 3: Cross multiply
    84.44x = 122.03 × 122.03
  4. Step 4: Simplify right side
    84.44x = 14,891.63
  5. Step 5: Solve for x
    x = 14,891.63/84.44
  6. Step 6: Final answer
    x = 176.36

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.