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Finding the Third Proportional to 114,168 and 181,821

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Solution

The third proportional to 114,168 and 181,821 is: 289,563.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,168 : 181,821 = 181,821 : x
  2. Step 2: Convert to fraction form
    114,168/181,821 = 181,821/x
  3. Step 3: Cross multiply
    114,168x = 181,821 × 181,821
  4. Step 4: Simplify right side
    114,168x = 33,058,876,041
  5. Step 5: Solve for x
    x = 33,058,876,041/114,168
  6. Step 6: Final answer
    x = 289,563.42

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.