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Finding the Third Proportional to 90,068 and 135,150

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Solution

The third proportional to 90,068 and 135,150 is: 202,797.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,068 : 135,150 = 135,150 : x
  2. Step 2: Convert to fraction form
    90,068/135,150 = 135,150/x
  3. Step 3: Cross multiply
    90,068x = 135,150 × 135,150
  4. Step 4: Simplify right side
    90,068x = 18,265,522,500
  5. Step 5: Solve for x
    x = 18,265,522,500/90,068
  6. Step 6: Final answer
    x = 202,797.03

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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.