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Finding the Third Proportional to 122,694 and 184,041

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Solution

The third proportional to 122,694 and 184,041 is: 276,061.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,694 : 184,041 = 184,041 : x
  2. Step 2: Convert to fraction form
    122,694/184,041 = 184,041/x
  3. Step 3: Cross multiply
    122,694x = 184,041 × 184,041
  4. Step 4: Simplify right side
    122,694x = 33,871,089,681
  5. Step 5: Solve for x
    x = 33,871,089,681/122,694
  6. Step 6: Final answer
    x = 276,061.50

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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.