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Finding the Third Proportional to 50,664 and 72,969

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Solution

The third proportional to 50,664 and 72,969 is: 105,093.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,664 : 72,969 = 72,969 : x
  2. Step 2: Convert to fraction form
    50,664/72,969 = 72,969/x
  3. Step 3: Cross multiply
    50,664x = 72,969 × 72,969
  4. Step 4: Simplify right side
    50,664x = 5,324,474,961
  5. Step 5: Solve for x
    x = 5,324,474,961/50,664
  6. Step 6: Final answer
    x = 105,093.85

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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.