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Finding the Third Proportional to 67.73 and 139.84

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Solution

The third proportional to 67.73 and 139.84 is: 288.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.73 : 139.84 = 139.84 : x
  2. Step 2: Convert to fraction form
    67.73/139.84 = 139.84/x
  3. Step 3: Cross multiply
    67.73x = 139.84 × 139.84
  4. Step 4: Simplify right side
    67.73x = 19,556.27
  5. Step 5: Solve for x
    x = 19,556.27/67.73
  6. Step 6: Final answer
    x = 288.72

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.