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Finding the Third Proportional to 83.13 and 119.50

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Solution

The third proportional to 83.13 and 119.50 is: 171.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.13 : 119.50 = 119.50 : x
  2. Step 2: Convert to fraction form
    83.13/119.50 = 119.50/x
  3. Step 3: Cross multiply
    83.13x = 119.50 × 119.50
  4. Step 4: Simplify right side
    83.13x = 14,280.25
  5. Step 5: Solve for x
    x = 14,280.25/83.13
  6. Step 6: Final answer
    x = 171.79

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.