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Finding the Third Proportional to 90,799 and 140,028

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Solution

The third proportional to 90,799 and 140,028 is: 215,947.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,799 : 140,028 = 140,028 : x
  2. Step 2: Convert to fraction form
    90,799/140,028 = 140,028/x
  3. Step 3: Cross multiply
    90,799x = 140,028 × 140,028
  4. Step 4: Simplify right side
    90,799x = 19,607,840,784
  5. Step 5: Solve for x
    x = 19,607,840,784/90,799
  6. Step 6: Final answer
    x = 215,947.76

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.