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Finding the Third Proportional to 57,739.50 and 134,142.75

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Solution

The third proportional to 57,739.50 and 134,142.75 is: 311,645.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,739.50 : 134,142.75 = 134,142.75 : x
  2. Step 2: Convert to fraction form
    57,739.50/134,142.75 = 134,142.75/x
  3. Step 3: Cross multiply
    57,739.50x = 134,142.75 × 134,142.75
  4. Step 4: Simplify right side
    57,739.50x = 17,994,277,377.56
  5. Step 5: Solve for x
    x = 17,994,277,377.56/57,739.50
  6. Step 6: Final answer
    x = 311,645.88

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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.