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Finding the Third Proportional to 80,834 and 122,370

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Solution

The third proportional to 80,834 and 122,370 is: 185,248.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,834 : 122,370 = 122,370 : x
  2. Step 2: Convert to fraction form
    80,834/122,370 = 122,370/x
  3. Step 3: Cross multiply
    80,834x = 122,370 × 122,370
  4. Step 4: Simplify right side
    80,834x = 14,974,416,900
  5. Step 5: Solve for x
    x = 14,974,416,900/80,834
  6. Step 6: Final answer
    x = 185,248.99

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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.