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Finding the Third Proportional to 72,831 and 104,645

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Solution

The third proportional to 72,831 and 104,645 is: 150,355.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,831 : 104,645 = 104,645 : x
  2. Step 2: Convert to fraction form
    72,831/104,645 = 104,645/x
  3. Step 3: Cross multiply
    72,831x = 104,645 × 104,645
  4. Step 4: Simplify right side
    72,831x = 10,950,576,025
  5. Step 5: Solve for x
    x = 10,950,576,025/72,831
  6. Step 6: Final answer
    x = 150,355.98

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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.