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Finding the Third Proportional to 47,789 and 103,885

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Solution

The third proportional to 47,789 and 103,885 is: 225,827.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,789 : 103,885 = 103,885 : x
  2. Step 2: Convert to fraction form
    47,789/103,885 = 103,885/x
  3. Step 3: Cross multiply
    47,789x = 103,885 × 103,885
  4. Step 4: Simplify right side
    47,789x = 10,792,093,225
  5. Step 5: Solve for x
    x = 10,792,093,225/47,789
  6. Step 6: Final answer
    x = 225,827.98

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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.