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Finding the Third Proportional to 126,568 and 184,855

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Solution

The third proportional to 126,568 and 184,855 is: 269,984.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,568 : 184,855 = 184,855 : x
  2. Step 2: Convert to fraction form
    126,568/184,855 = 184,855/x
  3. Step 3: Cross multiply
    126,568x = 184,855 × 184,855
  4. Step 4: Simplify right side
    126,568x = 34,171,371,025
  5. Step 5: Solve for x
    x = 34,171,371,025/126,568
  6. Step 6: Final answer
    x = 269,984.29

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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.