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Finding the Third Proportional to 128,107.25 and 203,565.75

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Solution

The third proportional to 128,107.25 and 203,565.75 is: 323,471.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,107.25 : 203,565.75 = 203,565.75 : x
  2. Step 2: Convert to fraction form
    128,107.25/203,565.75 = 203,565.75/x
  3. Step 3: Cross multiply
    128,107.25x = 203,565.75 × 203,565.75
  4. Step 4: Simplify right side
    128,107.25x = 41,439,014,573.06
  5. Step 5: Solve for x
    x = 41,439,014,573.06/128,107.25
  6. Step 6: Final answer
    x = 323,471.27

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.