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Finding the Third Proportional to 29,866 and 65,204

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Solution

The third proportional to 29,866 and 65,204 is: 142,354.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,866 : 65,204 = 65,204 : x
  2. Step 2: Convert to fraction form
    29,866/65,204 = 65,204/x
  3. Step 3: Cross multiply
    29,866x = 65,204 × 65,204
  4. Step 4: Simplify right side
    29,866x = 4,251,561,616
  5. Step 5: Solve for x
    x = 4,251,561,616/29,866
  6. Step 6: Final answer
    x = 142,354.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.