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Finding the Third Proportional to 25,144 and 53,204

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Solution

The third proportional to 25,144 and 53,204 is: 112,578.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,144 : 53,204 = 53,204 : x
  2. Step 2: Convert to fraction form
    25,144/53,204 = 53,204/x
  3. Step 3: Cross multiply
    25,144x = 53,204 × 53,204
  4. Step 4: Simplify right side
    25,144x = 2,830,665,616
  5. Step 5: Solve for x
    x = 2,830,665,616/25,144
  6. Step 6: Final answer
    x = 112,578.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.