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Finding the Third Proportional to 82.94 and 100.44

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Solution

The third proportional to 82.94 and 100.44 is: 121.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.94 : 100.44 = 100.44 : x
  2. Step 2: Convert to fraction form
    82.94/100.44 = 100.44/x
  3. Step 3: Cross multiply
    82.94x = 100.44 × 100.44
  4. Step 4: Simplify right side
    82.94x = 10,087.69
  5. Step 5: Solve for x
    x = 10,087.69/82.94
  6. Step 6: Final answer
    x = 121.63

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These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.