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Finding the Third Proportional to 52,885 and 81,002

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Solution

The third proportional to 52,885 and 81,002 is: 124,067.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,885 : 81,002 = 81,002 : x
  2. Step 2: Convert to fraction form
    52,885/81,002 = 81,002/x
  3. Step 3: Cross multiply
    52,885x = 81,002 × 81,002
  4. Step 4: Simplify right side
    52,885x = 6,561,324,004
  5. Step 5: Solve for x
    x = 6,561,324,004/52,885
  6. Step 6: Final answer
    x = 124,067.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.