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Finding the Third Proportional to 51,764 and 113,002

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Solution

The third proportional to 51,764 and 113,002 is: 246,685.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,764 : 113,002 = 113,002 : x
  2. Step 2: Convert to fraction form
    51,764/113,002 = 113,002/x
  3. Step 3: Cross multiply
    51,764x = 113,002 × 113,002
  4. Step 4: Simplify right side
    51,764x = 12,769,452,004
  5. Step 5: Solve for x
    x = 12,769,452,004/51,764
  6. Step 6: Final answer
    x = 246,685.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.