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Finding the Third Proportional to 106,264 and 218,759

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Solution

The third proportional to 106,264 and 218,759 is: 450,345.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,264 : 218,759 = 218,759 : x
  2. Step 2: Convert to fraction form
    106,264/218,759 = 218,759/x
  3. Step 3: Cross multiply
    106,264x = 218,759 × 218,759
  4. Step 4: Simplify right side
    106,264x = 47,855,500,081
  5. Step 5: Solve for x
    x = 47,855,500,081/106,264
  6. Step 6: Final answer
    x = 450,345.37

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.