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Finding the Third Proportional to 47,806 and 99,054

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Solution

The third proportional to 47,806 and 99,054 is: 205,239.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,806 : 99,054 = 99,054 : x
  2. Step 2: Convert to fraction form
    47,806/99,054 = 99,054/x
  3. Step 3: Cross multiply
    47,806x = 99,054 × 99,054
  4. Step 4: Simplify right side
    47,806x = 9,811,694,916
  5. Step 5: Solve for x
    x = 9,811,694,916/47,806
  6. Step 6: Final answer
    x = 205,239.82

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.