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Finding the Third Proportional to 113,837 and 171,122

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Solution

The third proportional to 113,837 and 171,122 is: 257,233.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,837 : 171,122 = 171,122 : x
  2. Step 2: Convert to fraction form
    113,837/171,122 = 171,122/x
  3. Step 3: Cross multiply
    113,837x = 171,122 × 171,122
  4. Step 4: Simplify right side
    113,837x = 29,282,738,884
  5. Step 5: Solve for x
    x = 29,282,738,884/113,837
  6. Step 6: Final answer
    x = 257,233.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.