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Finding the Third Proportional to 68.34 and 105.05

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Solution

The third proportional to 68.34 and 105.05 is: 161.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.34 : 105.05 = 105.05 : x
  2. Step 2: Convert to fraction form
    68.34/105.05 = 105.05/x
  3. Step 3: Cross multiply
    68.34x = 105.05 × 105.05
  4. Step 4: Simplify right side
    68.34x = 11,034.85
  5. Step 5: Solve for x
    x = 11,034.85/68.34
  6. Step 6: Final answer
    x = 161.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.