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Finding the Third Proportional to 50.44 and 116.06

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Solution

The third proportional to 50.44 and 116.06 is: 267.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.44 : 116.06 = 116.06 : x
  2. Step 2: Convert to fraction form
    50.44/116.06 = 116.06/x
  3. Step 3: Cross multiply
    50.44x = 116.06 × 116.06
  4. Step 4: Simplify right side
    50.44x = 13,470.50
  5. Step 5: Solve for x
    x = 13,470.50/50.44
  6. Step 6: Final answer
    x = 267.07

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.