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Finding the Third Proportional to 55,854 and 120,456

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Solution

The third proportional to 55,854 and 120,456 is: 259,778.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,854 : 120,456 = 120,456 : x
  2. Step 2: Convert to fraction form
    55,854/120,456 = 120,456/x
  3. Step 3: Cross multiply
    55,854x = 120,456 × 120,456
  4. Step 4: Simplify right side
    55,854x = 14,509,647,936
  5. Step 5: Solve for x
    x = 14,509,647,936/55,854
  6. Step 6: Final answer
    x = 259,778.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.