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Finding the Third Proportional to 77,627 and 120,234

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Solution

The third proportional to 77,627 and 120,234 is: 186,226.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,627 : 120,234 = 120,234 : x
  2. Step 2: Convert to fraction form
    77,627/120,234 = 120,234/x
  3. Step 3: Cross multiply
    77,627x = 120,234 × 120,234
  4. Step 4: Simplify right side
    77,627x = 14,456,214,756
  5. Step 5: Solve for x
    x = 14,456,214,756/77,627
  6. Step 6: Final answer
    x = 186,226.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.