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Finding the Third Proportional to 59,338.50 and 120,879

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Solution

The third proportional to 59,338.50 and 120,879 is: 246,243.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,338.50 : 120,879 = 120,879 : x
  2. Step 2: Convert to fraction form
    59,338.50/120,879 = 120,879/x
  3. Step 3: Cross multiply
    59,338.50x = 120,879 × 120,879
  4. Step 4: Simplify right side
    59,338.50x = 14,611,732,641
  5. Step 5: Solve for x
    x = 14,611,732,641/59,338.50
  6. Step 6: Final answer
    x = 246,243.71

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.