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Finding the Third Proportional to 75,105 and 140,751

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Solution

The third proportional to 75,105 and 140,751 is: 263,775.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,105 : 140,751 = 140,751 : x
  2. Step 2: Convert to fraction form
    75,105/140,751 = 140,751/x
  3. Step 3: Cross multiply
    75,105x = 140,751 × 140,751
  4. Step 4: Simplify right side
    75,105x = 19,810,844,001
  5. Step 5: Solve for x
    x = 19,810,844,001/75,105
  6. Step 6: Final answer
    x = 263,775.30

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.