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Finding the Third Proportional to 65.97 and 140.69

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Solution

The third proportional to 65.97 and 140.69 is: 300.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.97 : 140.69 = 140.69 : x
  2. Step 2: Convert to fraction form
    65.97/140.69 = 140.69/x
  3. Step 3: Cross multiply
    65.97x = 140.69 × 140.69
  4. Step 4: Simplify right side
    65.97x = 19,792.97
  5. Step 5: Solve for x
    x = 19,792.97/65.97
  6. Step 6: Final answer
    x = 300.04

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.