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Finding the Third Proportional to 49,569 and 103,241

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Solution

The third proportional to 49,569 and 103,241 is: 215,027.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,569 : 103,241 = 103,241 : x
  2. Step 2: Convert to fraction form
    49,569/103,241 = 103,241/x
  3. Step 3: Cross multiply
    49,569x = 103,241 × 103,241
  4. Step 4: Simplify right side
    49,569x = 10,658,704,081
  5. Step 5: Solve for x
    x = 10,658,704,081/49,569
  6. Step 6: Final answer
    x = 215,027.62

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.