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Finding the Third Proportional to 90,422 and 133,790

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Solution

The third proportional to 90,422 and 133,790 is: 197,958.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,422 : 133,790 = 133,790 : x
  2. Step 2: Convert to fraction form
    90,422/133,790 = 133,790/x
  3. Step 3: Cross multiply
    90,422x = 133,790 × 133,790
  4. Step 4: Simplify right side
    90,422x = 17,899,764,100
  5. Step 5: Solve for x
    x = 17,899,764,100/90,422
  6. Step 6: Final answer
    x = 197,958.06

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.