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Finding the Third Proportional to 47,855 and 104,782

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Solution

The third proportional to 47,855 and 104,782 is: 229,427.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,855 : 104,782 = 104,782 : x
  2. Step 2: Convert to fraction form
    47,855/104,782 = 104,782/x
  3. Step 3: Cross multiply
    47,855x = 104,782 × 104,782
  4. Step 4: Simplify right side
    47,855x = 10,979,267,524
  5. Step 5: Solve for x
    x = 10,979,267,524/47,855
  6. Step 6: Final answer
    x = 229,427.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.