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Finding the Third Proportional to 47,805 and 103,902

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Solution

The third proportional to 47,805 and 103,902 is: 225,826.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,805 : 103,902 = 103,902 : x
  2. Step 2: Convert to fraction form
    47,805/103,902 = 103,902/x
  3. Step 3: Cross multiply
    47,805x = 103,902 × 103,902
  4. Step 4: Simplify right side
    47,805x = 10,795,625,604
  5. Step 5: Solve for x
    x = 10,795,625,604/47,805
  6. Step 6: Final answer
    x = 225,826.29

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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.