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Finding the Third Proportional to 57,764 and 119,912

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Solution

The third proportional to 57,764 and 119,912 is: 248,924.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,764 : 119,912 = 119,912 : x
  2. Step 2: Convert to fraction form
    57,764/119,912 = 119,912/x
  3. Step 3: Cross multiply
    57,764x = 119,912 × 119,912
  4. Step 4: Simplify right side
    57,764x = 14,378,887,744
  5. Step 5: Solve for x
    x = 14,378,887,744/57,764
  6. Step 6: Final answer
    x = 248,924.72

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.