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Finding the Third Proportional to 68,659.88 and 103,958.44

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Solution

The third proportional to 68,659.88 and 103,958.44 is: 157,404.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,659.88 : 103,958.44 = 103,958.44 : x
  2. Step 2: Convert to fraction form
    68,659.88/103,958.44 = 103,958.44/x
  3. Step 3: Cross multiply
    68,659.88x = 103,958.44 × 103,958.44
  4. Step 4: Simplify right side
    68,659.88x = 10,807,356,727.44
  5. Step 5: Solve for x
    x = 10,807,356,727.44/68,659.88
  6. Step 6: Final answer
    x = 157,404.26

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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.