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Finding the Third Proportional to 50,974.13 and 118,512.75

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Solution

The third proportional to 50,974.13 and 118,512.75 is: 275,537.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,974.13 : 118,512.75 = 118,512.75 : x
  2. Step 2: Convert to fraction form
    50,974.13/118,512.75 = 118,512.75/x
  3. Step 3: Cross multiply
    50,974.13x = 118,512.75 × 118,512.75
  4. Step 4: Simplify right side
    50,974.13x = 14,045,271,912.56
  5. Step 5: Solve for x
    x = 14,045,271,912.56/50,974.13
  6. Step 6: Final answer
    x = 275,537.28

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.