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Finding the Third Proportional to 72,963 and 104,836

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Solution

The third proportional to 72,963 and 104,836 is: 150,632.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,963 : 104,836 = 104,836 : x
  2. Step 2: Convert to fraction form
    72,963/104,836 = 104,836/x
  3. Step 3: Cross multiply
    72,963x = 104,836 × 104,836
  4. Step 4: Simplify right side
    72,963x = 10,990,586,896
  5. Step 5: Solve for x
    x = 10,990,586,896/72,963
  6. Step 6: Final answer
    x = 150,632.33

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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.