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Finding the Third Proportional to 27,206 and 56,873

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Solution

The third proportional to 27,206 and 56,873 is: 118,890.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,206 : 56,873 = 56,873 : x
  2. Step 2: Convert to fraction form
    27,206/56,873 = 56,873/x
  3. Step 3: Cross multiply
    27,206x = 56,873 × 56,873
  4. Step 4: Simplify right side
    27,206x = 3,234,538,129
  5. Step 5: Solve for x
    x = 3,234,538,129/27,206
  6. Step 6: Final answer
    x = 118,890.62

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.