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Finding the Third Proportional to 47,059 and 103,448

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Solution

The third proportional to 47,059 and 103,448 is: 227,405.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,059 : 103,448 = 103,448 : x
  2. Step 2: Convert to fraction form
    47,059/103,448 = 103,448/x
  3. Step 3: Cross multiply
    47,059x = 103,448 × 103,448
  4. Step 4: Simplify right side
    47,059x = 10,701,488,704
  5. Step 5: Solve for x
    x = 10,701,488,704/47,059
  6. Step 6: Final answer
    x = 227,405.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.