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Finding the Third Proportional to 54,034 and 116,390

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Solution

The third proportional to 54,034 and 116,390 is: 250,705.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,034 : 116,390 = 116,390 : x
  2. Step 2: Convert to fraction form
    54,034/116,390 = 116,390/x
  3. Step 3: Cross multiply
    54,034x = 116,390 × 116,390
  4. Step 4: Simplify right side
    54,034x = 13,546,632,100
  5. Step 5: Solve for x
    x = 13,546,632,100/54,034
  6. Step 6: Final answer
    x = 250,705.71

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.