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Finding the Third Proportional to 67,643.44 and 107,105.63

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Solution

The third proportional to 67,643.44 and 107,105.63 is: 169,589.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,643.44 : 107,105.63 = 107,105.63 : x
  2. Step 2: Convert to fraction form
    67,643.44/107,105.63 = 107,105.63/x
  3. Step 3: Cross multiply
    67,643.44x = 107,105.63 × 107,105.63
  4. Step 4: Simplify right side
    67,643.44x = 11,471,614,906.64
  5. Step 5: Solve for x
    x = 11,471,614,906.64/67,643.44
  6. Step 6: Final answer
    x = 169,589.47

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.