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Finding the Third Proportional to 68.17 and 147.97

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Solution

The third proportional to 68.17 and 147.97 is: 321.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.17 : 147.97 = 147.97 : x
  2. Step 2: Convert to fraction form
    68.17/147.97 = 147.97/x
  3. Step 3: Cross multiply
    68.17x = 147.97 × 147.97
  4. Step 4: Simplify right side
    68.17x = 21,894.75
  5. Step 5: Solve for x
    x = 21,894.75/68.17
  6. Step 6: Final answer
    x = 321.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.