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Finding the Third Proportional to 122,370 and 188,227

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Solution

The third proportional to 122,370 and 188,227 is: 289,526.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,370 : 188,227 = 188,227 : x
  2. Step 2: Convert to fraction form
    122,370/188,227 = 188,227/x
  3. Step 3: Cross multiply
    122,370x = 188,227 × 188,227
  4. Step 4: Simplify right side
    122,370x = 35,429,403,529
  5. Step 5: Solve for x
    x = 35,429,403,529/122,370
  6. Step 6: Final answer
    x = 289,526.87

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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.