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Finding the Third Proportional to 57,537 and 119,067

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Solution

The third proportional to 57,537 and 119,067 is: 246,397.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,537 : 119,067 = 119,067 : x
  2. Step 2: Convert to fraction form
    57,537/119,067 = 119,067/x
  3. Step 3: Cross multiply
    57,537x = 119,067 × 119,067
  4. Step 4: Simplify right side
    57,537x = 14,176,950,489
  5. Step 5: Solve for x
    x = 14,176,950,489/57,537
  6. Step 6: Final answer
    x = 246,397.11

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.