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Finding the Third Proportional to 50,982.75 and 118,540.13

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Solution

The third proportional to 50,982.75 and 118,540.13 is: 275,617.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,982.75 : 118,540.13 = 118,540.13 : x
  2. Step 2: Convert to fraction form
    50,982.75/118,540.13 = 118,540.13/x
  3. Step 3: Cross multiply
    50,982.75x = 118,540.13 × 118,540.13
  4. Step 4: Simplify right side
    50,982.75x = 14,051,761,235.02
  5. Step 5: Solve for x
    x = 14,051,761,235.02/50,982.75
  6. Step 6: Final answer
    x = 275,617.95

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.