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Finding the Third Proportional to 91,944 and 140,589

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Solution

The third proportional to 91,944 and 140,589 is: 214,970.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,944 : 140,589 = 140,589 : x
  2. Step 2: Convert to fraction form
    91,944/140,589 = 140,589/x
  3. Step 3: Cross multiply
    91,944x = 140,589 × 140,589
  4. Step 4: Simplify right side
    91,944x = 19,765,266,921
  5. Step 5: Solve for x
    x = 19,765,266,921/91,944
  6. Step 6: Final answer
    x = 214,970.71

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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.