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Finding the Third Proportional to 47,775 and 103,857

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Solution

The third proportional to 47,775 and 103,857 is: 225,772.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,775 : 103,857 = 103,857 : x
  2. Step 2: Convert to fraction form
    47,775/103,857 = 103,857/x
  3. Step 3: Cross multiply
    47,775x = 103,857 × 103,857
  4. Step 4: Simplify right side
    47,775x = 10,786,276,449
  5. Step 5: Solve for x
    x = 10,786,276,449/47,775
  6. Step 6: Final answer
    x = 225,772.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.