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Finding the Third Proportional to 79,843 and 119,770.50

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Solution

The third proportional to 79,843 and 119,770.50 is: 179,664.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,843 : 119,770.50 = 119,770.50 : x
  2. Step 2: Convert to fraction form
    79,843/119,770.50 = 119,770.50/x
  3. Step 3: Cross multiply
    79,843x = 119,770.50 × 119,770.50
  4. Step 4: Simplify right side
    79,843x = 14,344,972,670.25
  5. Step 5: Solve for x
    x = 14,344,972,670.25/79,843
  6. Step 6: Final answer
    x = 179,664.75

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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.