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Finding the Third Proportional to 83.63 and 125.38

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Solution

The third proportional to 83.63 and 125.38 is: 187.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.63 : 125.38 = 125.38 : x
  2. Step 2: Convert to fraction form
    83.63/125.38 = 125.38/x
  3. Step 3: Cross multiply
    83.63x = 125.38 × 125.38
  4. Step 4: Simplify right side
    83.63x = 15,718.89
  5. Step 5: Solve for x
    x = 15,718.89/83.63
  6. Step 6: Final answer
    x = 187.97

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