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Finding the Third Proportional to 83,906.25 and 121,896.75

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Solution

The third proportional to 83,906.25 and 121,896.75 is: 177,088.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,906.25 : 121,896.75 = 121,896.75 : x
  2. Step 2: Convert to fraction form
    83,906.25/121,896.75 = 121,896.75/x
  3. Step 3: Cross multiply
    83,906.25x = 121,896.75 × 121,896.75
  4. Step 4: Simplify right side
    83,906.25x = 14,858,817,660.56
  5. Step 5: Solve for x
    x = 14,858,817,660.56/83,906.25
  6. Step 6: Final answer
    x = 177,088.33

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.