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Finding the Third Proportional to 55,442 and 120,361

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Solution

The third proportional to 55,442 and 120,361 is: 261,295.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,442 : 120,361 = 120,361 : x
  2. Step 2: Convert to fraction form
    55,442/120,361 = 120,361/x
  3. Step 3: Cross multiply
    55,442x = 120,361 × 120,361
  4. Step 4: Simplify right side
    55,442x = 14,486,770,321
  5. Step 5: Solve for x
    x = 14,486,770,321/55,442
  6. Step 6: Final answer
    x = 261,295.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.