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Finding the Third Proportional to 89,409.75 and 135,025.88

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Solution

The third proportional to 89,409.75 and 135,025.88 is: 203,914.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,409.75 : 135,025.88 = 135,025.88 : x
  2. Step 2: Convert to fraction form
    89,409.75/135,025.88 = 135,025.88/x
  3. Step 3: Cross multiply
    89,409.75x = 135,025.88 × 135,025.88
  4. Step 4: Simplify right side
    89,409.75x = 18,231,986,919.52
  5. Step 5: Solve for x
    x = 18,231,986,919.52/89,409.75
  6. Step 6: Final answer
    x = 203,914.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.