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Finding the Third Proportional to 89,873 and 195,601

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Solution

The third proportional to 89,873 and 195,601 is: 425,709.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,873 : 195,601 = 195,601 : x
  2. Step 2: Convert to fraction form
    89,873/195,601 = 195,601/x
  3. Step 3: Cross multiply
    89,873x = 195,601 × 195,601
  4. Step 4: Simplify right side
    89,873x = 38,259,751,201
  5. Step 5: Solve for x
    x = 38,259,751,201/89,873
  6. Step 6: Final answer
    x = 425,709.07

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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.