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Finding the Third Proportional to 83.06 and 119.16

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Solution

The third proportional to 83.06 and 119.16 is: 170.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.06 : 119.16 = 119.16 : x
  2. Step 2: Convert to fraction form
    83.06/119.16 = 119.16/x
  3. Step 3: Cross multiply
    83.06x = 119.16 × 119.16
  4. Step 4: Simplify right side
    83.06x = 14,198.21
  5. Step 5: Solve for x
    x = 14,198.21/83.06
  6. Step 6: Final answer
    x = 170.93

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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.