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Finding the Third Proportional to 122,328 and 188,083

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Solution

The third proportional to 122,328 and 188,083 is: 289,183.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,328 : 188,083 = 188,083 : x
  2. Step 2: Convert to fraction form
    122,328/188,083 = 188,083/x
  3. Step 3: Cross multiply
    122,328x = 188,083 × 188,083
  4. Step 4: Simplify right side
    122,328x = 35,375,214,889
  5. Step 5: Solve for x
    x = 35,375,214,889/122,328
  6. Step 6: Final answer
    x = 289,183.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.