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Finding the Third Proportional to 50,150 and 104,501

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Solution

The third proportional to 50,150 and 104,501 is: 217,755.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,150 : 104,501 = 104,501 : x
  2. Step 2: Convert to fraction form
    50,150/104,501 = 104,501/x
  3. Step 3: Cross multiply
    50,150x = 104,501 × 104,501
  4. Step 4: Simplify right side
    50,150x = 10,920,459,001
  5. Step 5: Solve for x
    x = 10,920,459,001/50,150
  6. Step 6: Final answer
    x = 217,755.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.