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Finding the Third Proportional to 101 and 271

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Solution

The third proportional to 101 and 271 is: 727.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    101 : 271 = 271 : x
  2. Step 2: Convert to fraction form
    101/271 = 271/x
  3. Step 3: Cross multiply
    101x = 271 × 271
  4. Step 4: Simplify right side
    101x = 73,441
  5. Step 5: Solve for x
    x = 73,441/101
  6. Step 6: Final answer
    x = 727.14

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Why These Related Problems?

These problems maintain the same ratio (2.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.