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Finding the Third Proportional to 43.31 and 102.94

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Solution

The third proportional to 43.31 and 102.94 is: 244.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.31 : 102.94 = 102.94 : x
  2. Step 2: Convert to fraction form
    43.31/102.94 = 102.94/x
  3. Step 3: Cross multiply
    43.31x = 102.94 × 102.94
  4. Step 4: Simplify right side
    43.31x = 10,596.13
  5. Step 5: Solve for x
    x = 10,596.13/43.31
  6. Step 6: Final answer
    x = 244.64

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These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.