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Finding the Third Proportional to 128,202.75 and 188,142.75

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Solution

The third proportional to 128,202.75 and 188,142.75 is: 276,107.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,202.75 : 188,142.75 = 188,142.75 : x
  2. Step 2: Convert to fraction form
    128,202.75/188,142.75 = 188,142.75/x
  3. Step 3: Cross multiply
    128,202.75x = 188,142.75 × 188,142.75
  4. Step 4: Simplify right side
    128,202.75x = 35,397,694,377.56
  5. Step 5: Solve for x
    x = 35,397,694,377.56/128,202.75
  6. Step 6: Final answer
    x = 276,107.14

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.