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Finding the Third Proportional to 56,041 and 120,218

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Solution

The third proportional to 56,041 and 120,218 is: 257,889.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,041 : 120,218 = 120,218 : x
  2. Step 2: Convert to fraction form
    56,041/120,218 = 120,218/x
  3. Step 3: Cross multiply
    56,041x = 120,218 × 120,218
  4. Step 4: Simplify right side
    56,041x = 14,452,367,524
  5. Step 5: Solve for x
    x = 14,452,367,524/56,041
  6. Step 6: Final answer
    x = 257,889.18

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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.