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Finding the Third Proportional to 57,224 and 119,676

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Solution

The third proportional to 57,224 and 119,676 is: 250,285.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,224 : 119,676 = 119,676 : x
  2. Step 2: Convert to fraction form
    57,224/119,676 = 119,676/x
  3. Step 3: Cross multiply
    57,224x = 119,676 × 119,676
  4. Step 4: Simplify right side
    57,224x = 14,322,344,976
  5. Step 5: Solve for x
    x = 14,322,344,976/57,224
  6. Step 6: Final answer
    x = 250,285.63

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.