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Finding the Third Proportional to 67,298 and 141,571

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Solution

The third proportional to 67,298 and 141,571 is: 297,814.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,298 : 141,571 = 141,571 : x
  2. Step 2: Convert to fraction form
    67,298/141,571 = 141,571/x
  3. Step 3: Cross multiply
    67,298x = 141,571 × 141,571
  4. Step 4: Simplify right side
    67,298x = 20,042,348,041
  5. Step 5: Solve for x
    x = 20,042,348,041/67,298
  6. Step 6: Final answer
    x = 297,814.91

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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.