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Finding the Third Proportional to 106,758 and 247,119

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Solution

The third proportional to 106,758 and 247,119 is: 572,020.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,758 : 247,119 = 247,119 : x
  2. Step 2: Convert to fraction form
    106,758/247,119 = 247,119/x
  3. Step 3: Cross multiply
    106,758x = 247,119 × 247,119
  4. Step 4: Simplify right side
    106,758x = 61,067,800,161
  5. Step 5: Solve for x
    x = 61,067,800,161/106,758
  6. Step 6: Final answer
    x = 572,020.83

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.