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Finding the Third Proportional to 76,626 and 184,923

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Solution

The third proportional to 76,626 and 184,923 is: 446,278.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,626 : 184,923 = 184,923 : x
  2. Step 2: Convert to fraction form
    76,626/184,923 = 184,923/x
  3. Step 3: Cross multiply
    76,626x = 184,923 × 184,923
  4. Step 4: Simplify right side
    76,626x = 34,196,515,929
  5. Step 5: Solve for x
    x = 34,196,515,929/76,626
  6. Step 6: Final answer
    x = 446,278.23

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.