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Finding the Third Proportional to 131,952.50 and 199,056.75

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Solution

The third proportional to 131,952.50 and 199,056.75 is: 300,286.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,952.50 : 199,056.75 = 199,056.75 : x
  2. Step 2: Convert to fraction form
    131,952.50/199,056.75 = 199,056.75/x
  3. Step 3: Cross multiply
    131,952.50x = 199,056.75 × 199,056.75
  4. Step 4: Simplify right side
    131,952.50x = 39,623,589,720.56
  5. Step 5: Solve for x
    x = 39,623,589,720.56/131,952.50
  6. Step 6: Final answer
    x = 300,286.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.