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Finding the Third Proportional to 51,800 and 73,115.75

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Solution

The third proportional to 51,800 and 73,115.75 is: 103,202.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,800 : 73,115.75 = 73,115.75 : x
  2. Step 2: Convert to fraction form
    51,800/73,115.75 = 73,115.75/x
  3. Step 3: Cross multiply
    51,800x = 73,115.75 × 73,115.75
  4. Step 4: Simplify right side
    51,800x = 5,345,912,898.06
  5. Step 5: Solve for x
    x = 5,345,912,898.06/51,800
  6. Step 6: Final answer
    x = 103,202.95

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.