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Finding the Third Proportional to 47,331 and 100,977

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Solution

The third proportional to 47,331 and 100,977 is: 215,426.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,331 : 100,977 = 100,977 : x
  2. Step 2: Convert to fraction form
    47,331/100,977 = 100,977/x
  3. Step 3: Cross multiply
    47,331x = 100,977 × 100,977
  4. Step 4: Simplify right side
    47,331x = 10,196,354,529
  5. Step 5: Solve for x
    x = 10,196,354,529/47,331
  6. Step 6: Final answer
    x = 215,426.56

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.