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Finding the Third Proportional to 52,796 and 107,734

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Solution

The third proportional to 52,796 and 107,734 is: 219,838.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,796 : 107,734 = 107,734 : x
  2. Step 2: Convert to fraction form
    52,796/107,734 = 107,734/x
  3. Step 3: Cross multiply
    52,796x = 107,734 × 107,734
  4. Step 4: Simplify right side
    52,796x = 11,606,614,756
  5. Step 5: Solve for x
    x = 11,606,614,756/52,796
  6. Step 6: Final answer
    x = 219,838.90

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.