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Finding the Third Proportional to 47,673 and 94,149

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Solution

The third proportional to 47,673 and 94,149 is: 185,934.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,673 : 94,149 = 94,149 : x
  2. Step 2: Convert to fraction form
    47,673/94,149 = 94,149/x
  3. Step 3: Cross multiply
    47,673x = 94,149 × 94,149
  4. Step 4: Simplify right side
    47,673x = 8,864,034,201
  5. Step 5: Solve for x
    x = 8,864,034,201/47,673
  6. Step 6: Final answer
    x = 185,934.05

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.