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Finding the Third Proportional to 122,914 and 184,467

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Solution

The third proportional to 122,914 and 184,467 is: 276,844.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,914 : 184,467 = 184,467 : x
  2. Step 2: Convert to fraction form
    122,914/184,467 = 184,467/x
  3. Step 3: Cross multiply
    122,914x = 184,467 × 184,467
  4. Step 4: Simplify right side
    122,914x = 34,028,074,089
  5. Step 5: Solve for x
    x = 34,028,074,089/122,914
  6. Step 6: Final answer
    x = 276,844.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.