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Finding the Third Proportional to 80,834 and 122,369

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Solution

The third proportional to 80,834 and 122,369 is: 185,245.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,834 : 122,369 = 122,369 : x
  2. Step 2: Convert to fraction form
    80,834/122,369 = 122,369/x
  3. Step 3: Cross multiply
    80,834x = 122,369 × 122,369
  4. Step 4: Simplify right side
    80,834x = 14,974,172,161
  5. Step 5: Solve for x
    x = 14,974,172,161/80,834
  6. Step 6: Final answer
    x = 185,245.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.