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Finding the Third Proportional to 83.81 and 129.19

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Solution

The third proportional to 83.81 and 129.19 is: 199.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.81 : 129.19 = 129.19 : x
  2. Step 2: Convert to fraction form
    83.81/129.19 = 129.19/x
  3. Step 3: Cross multiply
    83.81x = 129.19 × 129.19
  4. Step 4: Simplify right side
    83.81x = 16,689.41
  5. Step 5: Solve for x
    x = 16,689.41/83.81
  6. Step 6: Final answer
    x = 199.13

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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.