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Finding the Third Proportional to 50.50 and 116.13

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Solution

The third proportional to 50.50 and 116.13 is: 267.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.50 : 116.13 = 116.13 : x
  2. Step 2: Convert to fraction form
    50.50/116.13 = 116.13/x
  3. Step 3: Cross multiply
    50.50x = 116.13 × 116.13
  4. Step 4: Simplify right side
    50.50x = 13,485.02
  5. Step 5: Solve for x
    x = 13,485.02/50.50
  6. Step 6: Final answer
    x = 267.03

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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.