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Finding the Third Proportional to 49,716 and 106,794

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Solution

The third proportional to 49,716 and 106,794 is: 229,402.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,716 : 106,794 = 106,794 : x
  2. Step 2: Convert to fraction form
    49,716/106,794 = 106,794/x
  3. Step 3: Cross multiply
    49,716x = 106,794 × 106,794
  4. Step 4: Simplify right side
    49,716x = 11,404,958,436
  5. Step 5: Solve for x
    x = 11,404,958,436/49,716
  6. Step 6: Final answer
    x = 229,402.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.