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Finding the Third Proportional to 47,662 and 104,660

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Solution

The third proportional to 47,662 and 104,660 is: 229,820.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,662 : 104,660 = 104,660 : x
  2. Step 2: Convert to fraction form
    47,662/104,660 = 104,660/x
  3. Step 3: Cross multiply
    47,662x = 104,660 × 104,660
  4. Step 4: Simplify right side
    47,662x = 10,953,715,600
  5. Step 5: Solve for x
    x = 10,953,715,600/47,662
  6. Step 6: Final answer
    x = 229,820.73

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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.