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Finding the Third Proportional to 67,563 and 156,393

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Solution

The third proportional to 67,563 and 156,393 is: 362,014.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,563 : 156,393 = 156,393 : x
  2. Step 2: Convert to fraction form
    67,563/156,393 = 156,393/x
  3. Step 3: Cross multiply
    67,563x = 156,393 × 156,393
  4. Step 4: Simplify right side
    67,563x = 24,458,770,449
  5. Step 5: Solve for x
    x = 24,458,770,449/67,563
  6. Step 6: Final answer
    x = 362,014.27

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.