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Finding the Third Proportional to 47,106 and 96,372

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Solution

The third proportional to 47,106 and 96,372 is: 197,163.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,106 : 96,372 = 96,372 : x
  2. Step 2: Convert to fraction form
    47,106/96,372 = 96,372/x
  3. Step 3: Cross multiply
    47,106x = 96,372 × 96,372
  4. Step 4: Simplify right side
    47,106x = 9,287,562,384
  5. Step 5: Solve for x
    x = 9,287,562,384/47,106
  6. Step 6: Final answer
    x = 197,163.04

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.