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Finding the Third Proportional to 83.74 and 126.14

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Solution

The third proportional to 83.74 and 126.14 is: 190.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.74 : 126.14 = 126.14 : x
  2. Step 2: Convert to fraction form
    83.74/126.14 = 126.14/x
  3. Step 3: Cross multiply
    83.74x = 126.14 × 126.14
  4. Step 4: Simplify right side
    83.74x = 15,911.46
  5. Step 5: Solve for x
    x = 15,911.46/83.74
  6. Step 6: Final answer
    x = 190.01

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.