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Finding the Third Proportional to 83.74 and 119.81

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Solution

The third proportional to 83.74 and 119.81 is: 171.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.74 : 119.81 = 119.81 : x
  2. Step 2: Convert to fraction form
    83.74/119.81 = 119.81/x
  3. Step 3: Cross multiply
    83.74x = 119.81 × 119.81
  4. Step 4: Simplify right side
    83.74x = 14,355.04
  5. Step 5: Solve for x
    x = 14,355.04/83.74
  6. Step 6: Final answer
    x = 171.42

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.