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Finding the Third Proportional to 67,299 and 141,573

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Solution

The third proportional to 67,299 and 141,573 is: 297,818.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,299 : 141,573 = 141,573 : x
  2. Step 2: Convert to fraction form
    67,299/141,573 = 141,573/x
  3. Step 3: Cross multiply
    67,299x = 141,573 × 141,573
  4. Step 4: Simplify right side
    67,299x = 20,042,914,329
  5. Step 5: Solve for x
    x = 20,042,914,329/67,299
  6. Step 6: Final answer
    x = 297,818.90

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Why These Related Problems?

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