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Finding the Third Proportional to 83.91 and 131.72

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Solution

The third proportional to 83.91 and 131.72 is: 206.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.91 : 131.72 = 131.72 : x
  2. Step 2: Convert to fraction form
    83.91/131.72 = 131.72/x
  3. Step 3: Cross multiply
    83.91x = 131.72 × 131.72
  4. Step 4: Simplify right side
    83.91x = 17,349.83
  5. Step 5: Solve for x
    x = 17,349.83/83.91
  6. Step 6: Final answer
    x = 206.78

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.