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Finding the Third Proportional to 51,166 and 104,867

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Solution

The third proportional to 51,166 and 104,867 is: 214,929.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,166 : 104,867 = 104,867 : x
  2. Step 2: Convert to fraction form
    51,166/104,867 = 104,867/x
  3. Step 3: Cross multiply
    51,166x = 104,867 × 104,867
  4. Step 4: Simplify right side
    51,166x = 10,997,087,689
  5. Step 5: Solve for x
    x = 10,997,087,689/51,166
  6. Step 6: Final answer
    x = 214,929.60

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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.