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Finding the Third Proportional to 103.31 and 142.22

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Solution

The third proportional to 103.31 and 142.22 is: 195.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.31 : 142.22 = 142.22 : x
  2. Step 2: Convert to fraction form
    103.31/142.22 = 142.22/x
  3. Step 3: Cross multiply
    103.31x = 142.22 × 142.22
  4. Step 4: Simplify right side
    103.31x = 20,226.17
  5. Step 5: Solve for x
    x = 20,226.17/103.31
  6. Step 6: Final answer
    x = 195.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.