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Finding the Third Proportional to 106,901 and 230,751

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Solution

The third proportional to 106,901 and 230,751 is: 498,087.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,901 : 230,751 = 230,751 : x
  2. Step 2: Convert to fraction form
    106,901/230,751 = 230,751/x
  3. Step 3: Cross multiply
    106,901x = 230,751 × 230,751
  4. Step 4: Simplify right side
    106,901x = 53,246,024,001
  5. Step 5: Solve for x
    x = 53,246,024,001/106,901
  6. Step 6: Final answer
    x = 498,087.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.