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Finding the Third Proportional to 113,821 and 167,041

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Solution

The third proportional to 113,821 and 167,041 is: 245,145.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,821 : 167,041 = 167,041 : x
  2. Step 2: Convert to fraction form
    113,821/167,041 = 167,041/x
  3. Step 3: Cross multiply
    113,821x = 167,041 × 167,041
  4. Step 4: Simplify right side
    113,821x = 27,902,695,681
  5. Step 5: Solve for x
    x = 27,902,695,681/113,821
  6. Step 6: Final answer
    x = 245,145.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.