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Finding the Third Proportional to 75,739.50 and 159,311.25

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Solution

The third proportional to 75,739.50 and 159,311.25 is: 335,096.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,739.50 : 159,311.25 = 159,311.25 : x
  2. Step 2: Convert to fraction form
    75,739.50/159,311.25 = 159,311.25/x
  3. Step 3: Cross multiply
    75,739.50x = 159,311.25 × 159,311.25
  4. Step 4: Simplify right side
    75,739.50x = 25,380,074,376.56
  5. Step 5: Solve for x
    x = 25,380,074,376.56/75,739.50
  6. Step 6: Final answer
    x = 335,096.94

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.