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Finding the Third Proportional to 90,261.75 and 135,200.25

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Solution

The third proportional to 90,261.75 and 135,200.25 is: 202,512.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,261.75 : 135,200.25 = 135,200.25 : x
  2. Step 2: Convert to fraction form
    90,261.75/135,200.25 = 135,200.25/x
  3. Step 3: Cross multiply
    90,261.75x = 135,200.25 × 135,200.25
  4. Step 4: Simplify right side
    90,261.75x = 18,279,107,600.06
  5. Step 5: Solve for x
    x = 18,279,107,600.06/90,261.75
  6. Step 6: Final answer
    x = 202,512.22

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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.