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Finding the Third Proportional to 68,071 and 140,517

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Solution

The third proportional to 68,071 and 140,517 is: 290,065.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,071 : 140,517 = 140,517 : x
  2. Step 2: Convert to fraction form
    68,071/140,517 = 140,517/x
  3. Step 3: Cross multiply
    68,071x = 140,517 × 140,517
  4. Step 4: Simplify right side
    68,071x = 19,745,027,289
  5. Step 5: Solve for x
    x = 19,745,027,289/68,071
  6. Step 6: Final answer
    x = 290,065.19

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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.