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Finding the Third Proportional to 67,751.44 and 144,843.19

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Solution

The third proportional to 67,751.44 and 144,843.19 is: 309,654.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,751.44 : 144,843.19 = 144,843.19 : x
  2. Step 2: Convert to fraction form
    67,751.44/144,843.19 = 144,843.19/x
  3. Step 3: Cross multiply
    67,751.44x = 144,843.19 × 144,843.19
  4. Step 4: Simplify right side
    67,751.44x = 20,979,548,965.16
  5. Step 5: Solve for x
    x = 20,979,548,965.16/67,751.44
  6. Step 6: Final answer
    x = 309,654.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.