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Finding the Third Proportional to 47,104 and 99,661

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Solution

The third proportional to 47,104 and 99,661 is: 210,859.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,104 : 99,661 = 99,661 : x
  2. Step 2: Convert to fraction form
    47,104/99,661 = 99,661/x
  3. Step 3: Cross multiply
    47,104x = 99,661 × 99,661
  4. Step 4: Simplify right side
    47,104x = 9,932,314,921
  5. Step 5: Solve for x
    x = 9,932,314,921/47,104
  6. Step 6: Final answer
    x = 210,859.27

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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.