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Finding the Third Proportional to 83,546 and 120,711

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Solution

The third proportional to 83,546 and 120,711 is: 174,408.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,546 : 120,711 = 120,711 : x
  2. Step 2: Convert to fraction form
    83,546/120,711 = 120,711/x
  3. Step 3: Cross multiply
    83,546x = 120,711 × 120,711
  4. Step 4: Simplify right side
    83,546x = 14,571,145,521
  5. Step 5: Solve for x
    x = 14,571,145,521/83,546
  6. Step 6: Final answer
    x = 174,408.66

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.