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Finding the Third Proportional to 122,598.56 and 184,020.19

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Solution

The third proportional to 122,598.56 and 184,020.19 is: 276,213.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,598.56 : 184,020.19 = 184,020.19 : x
  2. Step 2: Convert to fraction form
    122,598.56/184,020.19 = 184,020.19/x
  3. Step 3: Cross multiply
    122,598.56x = 184,020.19 × 184,020.19
  4. Step 4: Simplify right side
    122,598.56x = 33,863,429,407.54
  5. Step 5: Solve for x
    x = 33,863,429,407.54/122,598.56
  6. Step 6: Final answer
    x = 276,213.92

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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.