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Finding the Third Proportional to 105.75 and 221.75

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Solution

The third proportional to 105.75 and 221.75 is: 464.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.75 : 221.75 = 221.75 : x
  2. Step 2: Convert to fraction form
    105.75/221.75 = 221.75/x
  3. Step 3: Cross multiply
    105.75x = 221.75 × 221.75
  4. Step 4: Simplify right side
    105.75x = 49,173.06
  5. Step 5: Solve for x
    x = 49,173.06/105.75
  6. Step 6: Final answer
    x = 464.99

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.