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Finding the Third Proportional to 47,542 and 100,448

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Solution

The third proportional to 47,542 and 100,448 is: 212,229.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,542 : 100,448 = 100,448 : x
  2. Step 2: Convert to fraction form
    47,542/100,448 = 100,448/x
  3. Step 3: Cross multiply
    47,542x = 100,448 × 100,448
  4. Step 4: Simplify right side
    47,542x = 10,089,800,704
  5. Step 5: Solve for x
    x = 10,089,800,704/47,542
  6. Step 6: Final answer
    x = 212,229.20

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.