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Finding the Third Proportional to 57,524 and 117,836

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Solution

The third proportional to 57,524 and 117,836 is: 241,383.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,524 : 117,836 = 117,836 : x
  2. Step 2: Convert to fraction form
    57,524/117,836 = 117,836/x
  3. Step 3: Cross multiply
    57,524x = 117,836 × 117,836
  4. Step 4: Simplify right side
    57,524x = 13,885,322,896
  5. Step 5: Solve for x
    x = 13,885,322,896/57,524
  6. Step 6: Final answer
    x = 241,383.13

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.