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Finding the Third Proportional to 67,274 and 141,517

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Solution

The third proportional to 67,274 and 141,517 is: 297,693.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,274 : 141,517 = 141,517 : x
  2. Step 2: Convert to fraction form
    67,274/141,517 = 141,517/x
  3. Step 3: Cross multiply
    67,274x = 141,517 × 141,517
  4. Step 4: Simplify right side
    67,274x = 20,027,061,289
  5. Step 5: Solve for x
    x = 20,027,061,289/67,274
  6. Step 6: Final answer
    x = 297,693.93

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.