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Finding the Third Proportional to 66,843.98 and 100,279.27

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Solution

The third proportional to 66,843.98 and 100,279.27 is: 150,438.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,843.98 : 100,279.27 = 100,279.27 : x
  2. Step 2: Convert to fraction form
    66,843.98/100,279.27 = 100,279.27/x
  3. Step 3: Cross multiply
    66,843.98x = 100,279.27 × 100,279.27
  4. Step 4: Simplify right side
    66,843.98x = 10,055,931,114.29
  5. Step 5: Solve for x
    x = 10,055,931,114.29/66,843.98
  6. Step 6: Final answer
    x = 150,438.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.