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Finding the Third Proportional to 122,372 and 188,230

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Solution

The third proportional to 122,372 and 188,230 is: 289,531.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,372 : 188,230 = 188,230 : x
  2. Step 2: Convert to fraction form
    122,372/188,230 = 188,230/x
  3. Step 3: Cross multiply
    122,372x = 188,230 × 188,230
  4. Step 4: Simplify right side
    122,372x = 35,430,532,900
  5. Step 5: Solve for x
    x = 35,430,532,900/122,372
  6. Step 6: Final answer
    x = 289,531.37

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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.