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Finding the Third Proportional to 46,192 and 69,704

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Solution

The third proportional to 46,192 and 69,704 is: 105,183.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,192 : 69,704 = 69,704 : x
  2. Step 2: Convert to fraction form
    46,192/69,704 = 69,704/x
  3. Step 3: Cross multiply
    46,192x = 69,704 × 69,704
  4. Step 4: Simplify right side
    46,192x = 4,858,647,616
  5. Step 5: Solve for x
    x = 4,858,647,616/46,192
  6. Step 6: Final answer
    x = 105,183.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.