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Finding the Third Proportional to 50,498 and 106,756

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Solution

The third proportional to 50,498 and 106,756 is: 225,689.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,498 : 106,756 = 106,756 : x
  2. Step 2: Convert to fraction form
    50,498/106,756 = 106,756/x
  3. Step 3: Cross multiply
    50,498x = 106,756 × 106,756
  4. Step 4: Simplify right side
    50,498x = 11,396,843,536
  5. Step 5: Solve for x
    x = 11,396,843,536/50,498
  6. Step 6: Final answer
    x = 225,689.01

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.