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Finding the Third Proportional to 96,512 and 139,230

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Solution

The third proportional to 96,512 and 139,230 is: 200,855.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,512 : 139,230 = 139,230 : x
  2. Step 2: Convert to fraction form
    96,512/139,230 = 139,230/x
  3. Step 3: Cross multiply
    96,512x = 139,230 × 139,230
  4. Step 4: Simplify right side
    96,512x = 19,384,992,900
  5. Step 5: Solve for x
    x = 19,384,992,900/96,512
  6. Step 6: Final answer
    x = 200,855.78

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Why These Related Problems?

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