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Finding the Third Proportional to 67,857 and 144,733

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Solution

The third proportional to 67,857 and 144,733 is: 308,702.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,857 : 144,733 = 144,733 : x
  2. Step 2: Convert to fraction form
    67,857/144,733 = 144,733/x
  3. Step 3: Cross multiply
    67,857x = 144,733 × 144,733
  4. Step 4: Simplify right side
    67,857x = 20,947,641,289
  5. Step 5: Solve for x
    x = 20,947,641,289/67,857
  6. Step 6: Final answer
    x = 308,702.73

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.