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Finding the Third Proportional to 90,593 and 135,673

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Solution

The third proportional to 90,593 and 135,673 is: 203,185.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,593 : 135,673 = 135,673 : x
  2. Step 2: Convert to fraction form
    90,593/135,673 = 135,673/x
  3. Step 3: Cross multiply
    90,593x = 135,673 × 135,673
  4. Step 4: Simplify right side
    90,593x = 18,407,162,929
  5. Step 5: Solve for x
    x = 18,407,162,929/90,593
  6. Step 6: Final answer
    x = 203,185.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.