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Finding the Third Proportional to 56,881 and 122,483

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Solution

The third proportional to 56,881 and 122,483 is: 263,745.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,881 : 122,483 = 122,483 : x
  2. Step 2: Convert to fraction form
    56,881/122,483 = 122,483/x
  3. Step 3: Cross multiply
    56,881x = 122,483 × 122,483
  4. Step 4: Simplify right side
    56,881x = 15,002,085,289
  5. Step 5: Solve for x
    x = 15,002,085,289/56,881
  6. Step 6: Final answer
    x = 263,745.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.