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Finding the Third Proportional to 96,512.25 and 139,230.75

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Solution

The third proportional to 96,512.25 and 139,230.75 is: 200,857.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,512.25 : 139,230.75 = 139,230.75 : x
  2. Step 2: Convert to fraction form
    96,512.25/139,230.75 = 139,230.75/x
  3. Step 3: Cross multiply
    96,512.25x = 139,230.75 × 139,230.75
  4. Step 4: Simplify right side
    96,512.25x = 19,385,201,745.56
  5. Step 5: Solve for x
    x = 19,385,201,745.56/96,512.25
  6. Step 6: Final answer
    x = 200,857.42

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.