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Finding the Third Proportional to 36,098 and 84,005

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Solution

The third proportional to 36,098 and 84,005 is: 195,491.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,098 : 84,005 = 84,005 : x
  2. Step 2: Convert to fraction form
    36,098/84,005 = 84,005/x
  3. Step 3: Cross multiply
    36,098x = 84,005 × 84,005
  4. Step 4: Simplify right side
    36,098x = 7,056,840,025
  5. Step 5: Solve for x
    x = 7,056,840,025/36,098
  6. Step 6: Final answer
    x = 195,491.16

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.