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Finding the Third Proportional to 131,977.50 and 188,043.75

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Solution

The third proportional to 131,977.50 and 188,043.75 is: 267,927.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,977.50 : 188,043.75 = 188,043.75 : x
  2. Step 2: Convert to fraction form
    131,977.50/188,043.75 = 188,043.75/x
  3. Step 3: Cross multiply
    131,977.50x = 188,043.75 × 188,043.75
  4. Step 4: Simplify right side
    131,977.50x = 35,360,451,914.06
  5. Step 5: Solve for x
    x = 35,360,451,914.06/131,977.50
  6. Step 6: Final answer
    x = 267,927.88

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.