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Finding the Third Proportional to 90,690 and 140,771

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Solution

The third proportional to 90,690 and 140,771 is: 218,507.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,690 : 140,771 = 140,771 : x
  2. Step 2: Convert to fraction form
    90,690/140,771 = 140,771/x
  3. Step 3: Cross multiply
    90,690x = 140,771 × 140,771
  4. Step 4: Simplify right side
    90,690x = 19,816,474,441
  5. Step 5: Solve for x
    x = 19,816,474,441/90,690
  6. Step 6: Final answer
    x = 218,507.82

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.