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Finding the Third Proportional to 49,099 and 107,756

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Solution

The third proportional to 49,099 and 107,756 is: 236,488.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,099 : 107,756 = 107,756 : x
  2. Step 2: Convert to fraction form
    49,099/107,756 = 107,756/x
  3. Step 3: Cross multiply
    49,099x = 107,756 × 107,756
  4. Step 4: Simplify right side
    49,099x = 11,611,355,536
  5. Step 5: Solve for x
    x = 11,611,355,536/49,099
  6. Step 6: Final answer
    x = 236,488.64

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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.