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Finding the Third Proportional to 51,793 and 111,756

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Solution

The third proportional to 51,793 and 111,756 is: 241,140.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,793 : 111,756 = 111,756 : x
  2. Step 2: Convert to fraction form
    51,793/111,756 = 111,756/x
  3. Step 3: Cross multiply
    51,793x = 111,756 × 111,756
  4. Step 4: Simplify right side
    51,793x = 12,489,403,536
  5. Step 5: Solve for x
    x = 12,489,403,536/51,793
  6. Step 6: Final answer
    x = 241,140.76

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.