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Finding the Third Proportional to 49,666 and 101,518

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Solution

The third proportional to 49,666 and 101,518 is: 207,504.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,666 : 101,518 = 101,518 : x
  2. Step 2: Convert to fraction form
    49,666/101,518 = 101,518/x
  3. Step 3: Cross multiply
    49,666x = 101,518 × 101,518
  4. Step 4: Simplify right side
    49,666x = 10,305,904,324
  5. Step 5: Solve for x
    x = 10,305,904,324/49,666
  6. Step 6: Final answer
    x = 207,504.21

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.