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Finding the Third Proportional to 67.22 and 146.86

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Solution

The third proportional to 67.22 and 146.86 is: 320.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.22 : 146.86 = 146.86 : x
  2. Step 2: Convert to fraction form
    67.22/146.86 = 146.86/x
  3. Step 3: Cross multiply
    67.22x = 146.86 × 146.86
  4. Step 4: Simplify right side
    67.22x = 21,567.68
  5. Step 5: Solve for x
    x = 21,567.68/67.22
  6. Step 6: Final answer
    x = 320.86

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.