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Finding the Third Proportional to 68.34 and 104.65

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Solution

The third proportional to 68.34 and 104.65 is: 160.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.34 : 104.65 = 104.65 : x
  2. Step 2: Convert to fraction form
    68.34/104.65 = 104.65/x
  3. Step 3: Cross multiply
    68.34x = 104.65 × 104.65
  4. Step 4: Simplify right side
    68.34x = 10,951.91
  5. Step 5: Solve for x
    x = 10,951.91/68.34
  6. Step 6: Final answer
    x = 160.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.