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Finding the Third Proportional to 47,661 and 94,126

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Solution

The third proportional to 47,661 and 94,126 is: 185,890.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,661 : 94,126 = 94,126 : x
  2. Step 2: Convert to fraction form
    47,661/94,126 = 94,126/x
  3. Step 3: Cross multiply
    47,661x = 94,126 × 94,126
  4. Step 4: Simplify right side
    47,661x = 8,859,703,876
  5. Step 5: Solve for x
    x = 8,859,703,876/47,661
  6. Step 6: Final answer
    x = 185,890.01

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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.