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Finding the Third Proportional to 90,662 and 149,831

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Solution

The third proportional to 90,662 and 149,831 is: 247,615.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,662 : 149,831 = 149,831 : x
  2. Step 2: Convert to fraction form
    90,662/149,831 = 149,831/x
  3. Step 3: Cross multiply
    90,662x = 149,831 × 149,831
  4. Step 4: Simplify right side
    90,662x = 22,449,328,561
  5. Step 5: Solve for x
    x = 22,449,328,561/90,662
  6. Step 6: Final answer
    x = 247,615.63

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.