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Finding the Third Proportional to 121,040 and 255,923

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Solution

The third proportional to 121,040 and 255,923 is: 541,115.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,040 : 255,923 = 255,923 : x
  2. Step 2: Convert to fraction form
    121,040/255,923 = 255,923/x
  3. Step 3: Cross multiply
    121,040x = 255,923 × 255,923
  4. Step 4: Simplify right side
    121,040x = 65,496,581,929
  5. Step 5: Solve for x
    x = 65,496,581,929/121,040
  6. Step 6: Final answer
    x = 541,115.18

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.