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Finding the Third Proportional to 112,806 and 247,923

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Solution

The third proportional to 112,806 and 247,923 is: 544,880.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,806 : 247,923 = 247,923 : x
  2. Step 2: Convert to fraction form
    112,806/247,923 = 247,923/x
  3. Step 3: Cross multiply
    112,806x = 247,923 × 247,923
  4. Step 4: Simplify right side
    112,806x = 61,465,813,929
  5. Step 5: Solve for x
    x = 61,465,813,929/112,806
  6. Step 6: Final answer
    x = 544,880.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.