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Finding the Third Proportional to 84,099 and 179,098

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Solution

The third proportional to 84,099 and 179,098 is: 381,408.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,099 : 179,098 = 179,098 : x
  2. Step 2: Convert to fraction form
    84,099/179,098 = 179,098/x
  3. Step 3: Cross multiply
    84,099x = 179,098 × 179,098
  4. Step 4: Simplify right side
    84,099x = 32,076,093,604
  5. Step 5: Solve for x
    x = 32,076,093,604/84,099
  6. Step 6: Final answer
    x = 381,408.74

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.