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Finding the Third Proportional to 120,826 and 177,675

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Solution

The third proportional to 120,826 and 177,675 is: 261,271.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,826 : 177,675 = 177,675 : x
  2. Step 2: Convert to fraction form
    120,826/177,675 = 177,675/x
  3. Step 3: Cross multiply
    120,826x = 177,675 × 177,675
  4. Step 4: Simplify right side
    120,826x = 31,568,405,625
  5. Step 5: Solve for x
    x = 31,568,405,625/120,826
  6. Step 6: Final answer
    x = 261,271.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.