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Finding the Third Proportional to 57,885 and 117,379

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Solution

The third proportional to 57,885 and 117,379 is: 238,020.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,885 : 117,379 = 117,379 : x
  2. Step 2: Convert to fraction form
    57,885/117,379 = 117,379/x
  3. Step 3: Cross multiply
    57,885x = 117,379 × 117,379
  4. Step 4: Simplify right side
    57,885x = 13,777,829,641
  5. Step 5: Solve for x
    x = 13,777,829,641/57,885
  6. Step 6: Final answer
    x = 238,020.72

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.