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Finding the Third Proportional to 50,666 and 110,251

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Solution

The third proportional to 50,666 and 110,251 is: 239,910.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,666 : 110,251 = 110,251 : x
  2. Step 2: Convert to fraction form
    50,666/110,251 = 110,251/x
  3. Step 3: Cross multiply
    50,666x = 110,251 × 110,251
  4. Step 4: Simplify right side
    50,666x = 12,155,283,001
  5. Step 5: Solve for x
    x = 12,155,283,001/50,666
  6. Step 6: Final answer
    x = 239,910.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.