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Finding the Third Proportional to 50.95 and 110.16

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Solution

The third proportional to 50.95 and 110.16 is: 238.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.95 : 110.16 = 110.16 : x
  2. Step 2: Convert to fraction form
    50.95/110.16 = 110.16/x
  3. Step 3: Cross multiply
    50.95x = 110.16 × 110.16
  4. Step 4: Simplify right side
    50.95x = 12,134.40
  5. Step 5: Solve for x
    x = 12,134.40/50.95
  6. Step 6: Final answer
    x = 238.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.