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Finding the Third Proportional to 47,202 and 100,548

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Solution

The third proportional to 47,202 and 100,548 is: 214,183.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,202 : 100,548 = 100,548 : x
  2. Step 2: Convert to fraction form
    47,202/100,548 = 100,548/x
  3. Step 3: Cross multiply
    47,202x = 100,548 × 100,548
  4. Step 4: Simplify right side
    47,202x = 10,109,900,304
  5. Step 5: Solve for x
    x = 10,109,900,304/47,202
  6. Step 6: Final answer
    x = 214,183.73

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.