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Finding the Third Proportional to 113,538 and 171,879

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Solution

The third proportional to 113,538 and 171,879 is: 260,198.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,538 : 171,879 = 171,879 : x
  2. Step 2: Convert to fraction form
    113,538/171,879 = 171,879/x
  3. Step 3: Cross multiply
    113,538x = 171,879 × 171,879
  4. Step 4: Simplify right side
    113,538x = 29,542,390,641
  5. Step 5: Solve for x
    x = 29,542,390,641/113,538
  6. Step 6: Final answer
    x = 260,198.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.