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Finding the Third Proportional to 72,969 and 104,845

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Solution

The third proportional to 72,969 and 104,845 is: 150,645.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,969 : 104,845 = 104,845 : x
  2. Step 2: Convert to fraction form
    72,969/104,845 = 104,845/x
  3. Step 3: Cross multiply
    72,969x = 104,845 × 104,845
  4. Step 4: Simplify right side
    72,969x = 10,992,474,025
  5. Step 5: Solve for x
    x = 10,992,474,025/72,969
  6. Step 6: Final answer
    x = 150,645.81

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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.