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Finding the Third Proportional to 68,789.25 and 141,998.06

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Solution

The third proportional to 68,789.25 and 141,998.06 is: 293,119.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,789.25 : 141,998.06 = 141,998.06 : x
  2. Step 2: Convert to fraction form
    68,789.25/141,998.06 = 141,998.06/x
  3. Step 3: Cross multiply
    68,789.25x = 141,998.06 × 141,998.06
  4. Step 4: Simplify right side
    68,789.25x = 20,163,449,753.75
  5. Step 5: Solve for x
    x = 20,163,449,753.75/68,789.25
  6. Step 6: Final answer
    x = 293,119.20

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.