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Finding the Third Proportional to 49,523 and 106,747

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Solution

The third proportional to 49,523 and 106,747 is: 230,093.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,523 : 106,747 = 106,747 : x
  2. Step 2: Convert to fraction form
    49,523/106,747 = 106,747/x
  3. Step 3: Cross multiply
    49,523x = 106,747 × 106,747
  4. Step 4: Simplify right side
    49,523x = 11,394,922,009
  5. Step 5: Solve for x
    x = 11,394,922,009/49,523
  6. Step 6: Final answer
    x = 230,093.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.