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Finding the Third Proportional to 55,277 and 120,675

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Solution

The third proportional to 55,277 and 120,675 is: 263,445.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,277 : 120,675 = 120,675 : x
  2. Step 2: Convert to fraction form
    55,277/120,675 = 120,675/x
  3. Step 3: Cross multiply
    55,277x = 120,675 × 120,675
  4. Step 4: Simplify right side
    55,277x = 14,562,455,625
  5. Step 5: Solve for x
    x = 14,562,455,625/55,277
  6. Step 6: Final answer
    x = 263,445.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.