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Finding the Third Proportional to 68,265 and 141,978

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Solution

The third proportional to 68,265 and 141,978 is: 295,286.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,265 : 141,978 = 141,978 : x
  2. Step 2: Convert to fraction form
    68,265/141,978 = 141,978/x
  3. Step 3: Cross multiply
    68,265x = 141,978 × 141,978
  4. Step 4: Simplify right side
    68,265x = 20,157,752,484
  5. Step 5: Solve for x
    x = 20,157,752,484/68,265
  6. Step 6: Final answer
    x = 295,286.79

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.