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Finding the Third Proportional to 49,609 and 106,994

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Solution

The third proportional to 49,609 and 106,994 is: 230,758.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,609 : 106,994 = 106,994 : x
  2. Step 2: Convert to fraction form
    49,609/106,994 = 106,994/x
  3. Step 3: Cross multiply
    49,609x = 106,994 × 106,994
  4. Step 4: Simplify right side
    49,609x = 11,447,716,036
  5. Step 5: Solve for x
    x = 11,447,716,036/49,609
  6. Step 6: Final answer
    x = 230,758.85

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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.