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Finding the Third Proportional to 91,968 and 140,626

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Solution

The third proportional to 91,968 and 140,626 is: 215,027.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,968 : 140,626 = 140,626 : x
  2. Step 2: Convert to fraction form
    91,968/140,626 = 140,626/x
  3. Step 3: Cross multiply
    91,968x = 140,626 × 140,626
  4. Step 4: Simplify right side
    91,968x = 19,775,671,876
  5. Step 5: Solve for x
    x = 19,775,671,876/91,968
  6. Step 6: Final answer
    x = 215,027.75

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.