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Finding the Third Proportional to 47,387 and 100,606

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Solution

The third proportional to 47,387 and 100,606 is: 213,593.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,387 : 100,606 = 100,606 : x
  2. Step 2: Convert to fraction form
    47,387/100,606 = 100,606/x
  3. Step 3: Cross multiply
    47,387x = 100,606 × 100,606
  4. Step 4: Simplify right side
    47,387x = 10,121,567,236
  5. Step 5: Solve for x
    x = 10,121,567,236/47,387
  6. Step 6: Final answer
    x = 213,593.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.