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Finding the Third Proportional to 67.92 and 109.34

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Solution

The third proportional to 67.92 and 109.34 is: 176.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.92 : 109.34 = 109.34 : x
  2. Step 2: Convert to fraction form
    67.92/109.34 = 109.34/x
  3. Step 3: Cross multiply
    67.92x = 109.34 × 109.34
  4. Step 4: Simplify right side
    67.92x = 11,954.35
  5. Step 5: Solve for x
    x = 11,954.35/67.92
  6. Step 6: Final answer
    x = 176.00

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.