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Finding the Third Proportional to 126,568.13 and 184,853.25

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Solution

The third proportional to 126,568.13 and 184,853.25 is: 269,978.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,568.13 : 184,853.25 = 184,853.25 : x
  2. Step 2: Convert to fraction form
    126,568.13/184,853.25 = 184,853.25/x
  3. Step 3: Cross multiply
    126,568.13x = 184,853.25 × 184,853.25
  4. Step 4: Simplify right side
    126,568.13x = 34,170,724,035.56
  5. Step 5: Solve for x
    x = 34,170,724,035.56/126,568.13
  6. Step 6: Final answer
    x = 269,978.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.