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Finding the Third Proportional to 106,260 and 218,751

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Solution

The third proportional to 106,260 and 218,751 is: 450,329.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,260 : 218,751 = 218,751 : x
  2. Step 2: Convert to fraction form
    106,260/218,751 = 218,751/x
  3. Step 3: Cross multiply
    106,260x = 218,751 × 218,751
  4. Step 4: Simplify right side
    106,260x = 47,852,000,001
  5. Step 5: Solve for x
    x = 47,852,000,001/106,260
  6. Step 6: Final answer
    x = 450,329.38

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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.