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Finding the Third Proportional to 96,509 and 139,227

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Solution

The third proportional to 96,509 and 139,227 is: 200,853.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,509 : 139,227 = 139,227 : x
  2. Step 2: Convert to fraction form
    96,509/139,227 = 139,227/x
  3. Step 3: Cross multiply
    96,509x = 139,227 × 139,227
  4. Step 4: Simplify right side
    96,509x = 19,384,157,529
  5. Step 5: Solve for x
    x = 19,384,157,529/96,509
  6. Step 6: Final answer
    x = 200,853.37

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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.