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Finding the Third Proportional to 122,784.75 and 184,632.75

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Solution

The third proportional to 122,784.75 and 184,632.75 is: 277,634.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,784.75 : 184,632.75 = 184,632.75 : x
  2. Step 2: Convert to fraction form
    122,784.75/184,632.75 = 184,632.75/x
  3. Step 3: Cross multiply
    122,784.75x = 184,632.75 × 184,632.75
  4. Step 4: Simplify right side
    122,784.75x = 34,089,252,372.56
  5. Step 5: Solve for x
    x = 34,089,252,372.56/122,784.75
  6. Step 6: Final answer
    x = 277,634.25

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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.