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Finding the Third Proportional to 25,069 and 52,204

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Solution

The third proportional to 25,069 and 52,204 is: 108,710.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,069 : 52,204 = 52,204 : x
  2. Step 2: Convert to fraction form
    25,069/52,204 = 52,204/x
  3. Step 3: Cross multiply
    25,069x = 52,204 × 52,204
  4. Step 4: Simplify right side
    25,069x = 2,725,257,616
  5. Step 5: Solve for x
    x = 2,725,257,616/25,069
  6. Step 6: Final answer
    x = 108,710.26

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.