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Finding the Third Proportional to 67.25 and 139.75

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Solution

The third proportional to 67.25 and 139.75 is: 290.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.25 : 139.75 = 139.75 : x
  2. Step 2: Convert to fraction form
    67.25/139.75 = 139.75/x
  3. Step 3: Cross multiply
    67.25x = 139.75 × 139.75
  4. Step 4: Simplify right side
    67.25x = 19,530.06
  5. Step 5: Solve for x
    x = 19,530.06/67.25
  6. Step 6: Final answer
    x = 290.41

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.