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Finding the Third Proportional to 51,169 and 104,873

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Solution

The third proportional to 51,169 and 104,873 is: 214,941.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,169 : 104,873 = 104,873 : x
  2. Step 2: Convert to fraction form
    51,169/104,873 = 104,873/x
  3. Step 3: Cross multiply
    51,169x = 104,873 × 104,873
  4. Step 4: Simplify right side
    51,169x = 10,998,346,129
  5. Step 5: Solve for x
    x = 10,998,346,129/51,169
  6. Step 6: Final answer
    x = 214,941.59

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.