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Finding the Third Proportional to 30,702 and 67,857

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Solution

The third proportional to 30,702 and 67,857 is: 149,976.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,702 : 67,857 = 67,857 : x
  2. Step 2: Convert to fraction form
    30,702/67,857 = 67,857/x
  3. Step 3: Cross multiply
    30,702x = 67,857 × 67,857
  4. Step 4: Simplify right side
    30,702x = 4,604,572,449
  5. Step 5: Solve for x
    x = 4,604,572,449/30,702
  6. Step 6: Final answer
    x = 149,976.30

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.