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Finding the Third Proportional to 128,025 and 200,839.50

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Solution

The third proportional to 128,025 and 200,839.50 is: 315,067.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,025 : 200,839.50 = 200,839.50 : x
  2. Step 2: Convert to fraction form
    128,025/200,839.50 = 200,839.50/x
  3. Step 3: Cross multiply
    128,025x = 200,839.50 × 200,839.50
  4. Step 4: Simplify right side
    128,025x = 40,336,504,760.25
  5. Step 5: Solve for x
    x = 40,336,504,760.25/128,025
  6. Step 6: Final answer
    x = 315,067.41

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.