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Finding the Third Proportional to 90,150.75 and 135,258.75

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Solution

The third proportional to 90,150.75 and 135,258.75 is: 202,937.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,150.75 : 135,258.75 = 135,258.75 : x
  2. Step 2: Convert to fraction form
    90,150.75/135,258.75 = 135,258.75/x
  3. Step 3: Cross multiply
    90,150.75x = 135,258.75 × 135,258.75
  4. Step 4: Simplify right side
    90,150.75x = 18,294,929,451.56
  5. Step 5: Solve for x
    x = 18,294,929,451.56/90,150.75
  6. Step 6: Final answer
    x = 202,937.07

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Why These Related Problems?

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