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Finding the Third Proportional to 126,962 and 186,512

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Solution

The third proportional to 126,962 and 186,512 is: 273,993.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,962 : 186,512 = 186,512 : x
  2. Step 2: Convert to fraction form
    126,962/186,512 = 186,512/x
  3. Step 3: Cross multiply
    126,962x = 186,512 × 186,512
  4. Step 4: Simplify right side
    126,962x = 34,786,726,144
  5. Step 5: Solve for x
    x = 34,786,726,144/126,962
  6. Step 6: Final answer
    x = 273,993.21

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.