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Finding the Third Proportional to 105.75 and 271.13

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Solution

The third proportional to 105.75 and 271.13 is: 695.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.75 : 271.13 = 271.13 : x
  2. Step 2: Convert to fraction form
    105.75/271.13 = 271.13/x
  3. Step 3: Cross multiply
    105.75x = 271.13 × 271.13
  4. Step 4: Simplify right side
    105.75x = 73,508.77
  5. Step 5: Solve for x
    x = 73,508.77/105.75
  6. Step 6: Final answer
    x = 695.12

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.