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Finding the Third Proportional to 47,204 and 95,776

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Solution

The third proportional to 47,204 and 95,776 is: 194,327.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,204 : 95,776 = 95,776 : x
  2. Step 2: Convert to fraction form
    47,204/95,776 = 95,776/x
  3. Step 3: Cross multiply
    47,204x = 95,776 × 95,776
  4. Step 4: Simplify right side
    47,204x = 9,173,042,176
  5. Step 5: Solve for x
    x = 9,173,042,176/47,204
  6. Step 6: Final answer
    x = 194,327.65

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.