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Finding the Third Proportional to 112,734 and 262,122

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Solution

The third proportional to 112,734 and 262,122 is: 609,469.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,734 : 262,122 = 262,122 : x
  2. Step 2: Convert to fraction form
    112,734/262,122 = 262,122/x
  3. Step 3: Cross multiply
    112,734x = 262,122 × 262,122
  4. Step 4: Simplify right side
    112,734x = 68,707,942,884
  5. Step 5: Solve for x
    x = 68,707,942,884/112,734
  6. Step 6: Final answer
    x = 609,469.57

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.