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Finding the Third Proportional to 63,786 and 139,227

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Solution

The third proportional to 63,786 and 139,227 is: 303,893.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,786 : 139,227 = 139,227 : x
  2. Step 2: Convert to fraction form
    63,786/139,227 = 139,227/x
  3. Step 3: Cross multiply
    63,786x = 139,227 × 139,227
  4. Step 4: Simplify right side
    63,786x = 19,384,157,529
  5. Step 5: Solve for x
    x = 19,384,157,529/63,786
  6. Step 6: Final answer
    x = 303,893.61

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.