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Finding the Third Proportional to 98,525 and 204,057

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Solution

The third proportional to 98,525 and 204,057 is: 422,626.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,525 : 204,057 = 204,057 : x
  2. Step 2: Convert to fraction form
    98,525/204,057 = 204,057/x
  3. Step 3: Cross multiply
    98,525x = 204,057 × 204,057
  4. Step 4: Simplify right side
    98,525x = 41,639,259,249
  5. Step 5: Solve for x
    x = 41,639,259,249/98,525
  6. Step 6: Final answer
    x = 422,626.33

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.