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Finding the Third Proportional to 67,293 and 141,561

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Solution

The third proportional to 67,293 and 141,561 is: 297,794.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,293 : 141,561 = 141,561 : x
  2. Step 2: Convert to fraction form
    67,293/141,561 = 141,561/x
  3. Step 3: Cross multiply
    67,293x = 141,561 × 141,561
  4. Step 4: Simplify right side
    67,293x = 20,039,516,721
  5. Step 5: Solve for x
    x = 20,039,516,721/67,293
  6. Step 6: Final answer
    x = 297,794.97

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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.