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Finding the Third Proportional to 74,162 and 114,843

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Solution

The third proportional to 74,162 and 114,843 is: 177,839.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,162 : 114,843 = 114,843 : x
  2. Step 2: Convert to fraction form
    74,162/114,843 = 114,843/x
  3. Step 3: Cross multiply
    74,162x = 114,843 × 114,843
  4. Step 4: Simplify right side
    74,162x = 13,188,914,649
  5. Step 5: Solve for x
    x = 13,188,914,649/74,162
  6. Step 6: Final answer
    x = 177,839.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.