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Finding the Third Proportional to 46,469 and 69,906

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Solution

The third proportional to 46,469 and 69,906 is: 105,163.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,469 : 69,906 = 69,906 : x
  2. Step 2: Convert to fraction form
    46,469/69,906 = 69,906/x
  3. Step 3: Cross multiply
    46,469x = 69,906 × 69,906
  4. Step 4: Simplify right side
    46,469x = 4,886,848,836
  5. Step 5: Solve for x
    x = 4,886,848,836/46,469
  6. Step 6: Final answer
    x = 105,163.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.