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Finding the Third Proportional to 89,247 and 187,698

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Solution

The third proportional to 89,247 and 187,698 is: 394,753.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,247 : 187,698 = 187,698 : x
  2. Step 2: Convert to fraction form
    89,247/187,698 = 187,698/x
  3. Step 3: Cross multiply
    89,247x = 187,698 × 187,698
  4. Step 4: Simplify right side
    89,247x = 35,230,539,204
  5. Step 5: Solve for x
    x = 35,230,539,204/89,247
  6. Step 6: Final answer
    x = 394,753.20

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.