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Finding the Third Proportional to 78,786 and 118,234

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Solution

The third proportional to 78,786 and 118,234 is: 177,433.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,786 : 118,234 = 118,234 : x
  2. Step 2: Convert to fraction form
    78,786/118,234 = 118,234/x
  3. Step 3: Cross multiply
    78,786x = 118,234 × 118,234
  4. Step 4: Simplify right side
    78,786x = 13,979,278,756
  5. Step 5: Solve for x
    x = 13,979,278,756/78,786
  6. Step 6: Final answer
    x = 177,433.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.