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Finding the Third Proportional to 94,125 and 207,204

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Solution

The third proportional to 94,125 and 207,204 is: 456,132.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,125 : 207,204 = 207,204 : x
  2. Step 2: Convert to fraction form
    94,125/207,204 = 207,204/x
  3. Step 3: Cross multiply
    94,125x = 207,204 × 207,204
  4. Step 4: Simplify right side
    94,125x = 42,933,497,616
  5. Step 5: Solve for x
    x = 42,933,497,616/94,125
  6. Step 6: Final answer
    x = 456,132.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.