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Finding the Third Proportional to 68,793.75 and 142,008.75

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Solution

The third proportional to 68,793.75 and 142,008.75 is: 293,144.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,793.75 : 142,008.75 = 142,008.75 : x
  2. Step 2: Convert to fraction form
    68,793.75/142,008.75 = 142,008.75/x
  3. Step 3: Cross multiply
    68,793.75x = 142,008.75 × 142,008.75
  4. Step 4: Simplify right side
    68,793.75x = 20,166,485,076.56
  5. Step 5: Solve for x
    x = 20,166,485,076.56/68,793.75
  6. Step 6: Final answer
    x = 293,144.15

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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.