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Finding the Third Proportional to 46,183 and 71,651

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Solution

The third proportional to 46,183 and 71,651 is: 111,163.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,183 : 71,651 = 71,651 : x
  2. Step 2: Convert to fraction form
    46,183/71,651 = 71,651/x
  3. Step 3: Cross multiply
    46,183x = 71,651 × 71,651
  4. Step 4: Simplify right side
    46,183x = 5,133,865,801
  5. Step 5: Solve for x
    x = 5,133,865,801/46,183
  6. Step 6: Final answer
    x = 111,163.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.