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Finding the Third Proportional to 83.81 and 125.77

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Solution

The third proportional to 83.81 and 125.77 is: 188.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.81 : 125.77 = 125.77 : x
  2. Step 2: Convert to fraction form
    83.81/125.77 = 125.77/x
  3. Step 3: Cross multiply
    83.81x = 125.77 × 125.77
  4. Step 4: Simplify right side
    83.81x = 15,816.99
  5. Step 5: Solve for x
    x = 15,816.99/83.81
  6. Step 6: Final answer
    x = 188.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.