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Finding the Third Proportional to 122,430 and 184,005

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Solution

The third proportional to 122,430 and 184,005 is: 276,548.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,430 : 184,005 = 184,005 : x
  2. Step 2: Convert to fraction form
    122,430/184,005 = 184,005/x
  3. Step 3: Cross multiply
    122,430x = 184,005 × 184,005
  4. Step 4: Simplify right side
    122,430x = 33,857,840,025
  5. Step 5: Solve for x
    x = 33,857,840,025/122,430
  6. Step 6: Final answer
    x = 276,548.56

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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.