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Finding the Third Proportional to 56,338 and 119,857

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Solution

The third proportional to 56,338 and 119,857 is: 254,991.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,338 : 119,857 = 119,857 : x
  2. Step 2: Convert to fraction form
    56,338/119,857 = 119,857/x
  3. Step 3: Cross multiply
    56,338x = 119,857 × 119,857
  4. Step 4: Simplify right side
    56,338x = 14,365,700,449
  5. Step 5: Solve for x
    x = 14,365,700,449/56,338
  6. Step 6: Final answer
    x = 254,991.31

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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.