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Finding the Third Proportional to 49,311 and 107,829

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Solution

The third proportional to 49,311 and 107,829 is: 235,791.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,311 : 107,829 = 107,829 : x
  2. Step 2: Convert to fraction form
    49,311/107,829 = 107,829/x
  3. Step 3: Cross multiply
    49,311x = 107,829 × 107,829
  4. Step 4: Simplify right side
    49,311x = 11,627,093,241
  5. Step 5: Solve for x
    x = 11,627,093,241/49,311
  6. Step 6: Final answer
    x = 235,791.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.