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Finding the Third Proportional to 123,110 and 188,398

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Solution

The third proportional to 123,110 and 188,398 is: 288,309.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,110 : 188,398 = 188,398 : x
  2. Step 2: Convert to fraction form
    123,110/188,398 = 188,398/x
  3. Step 3: Cross multiply
    123,110x = 188,398 × 188,398
  4. Step 4: Simplify right side
    123,110x = 35,493,806,404
  5. Step 5: Solve for x
    x = 35,493,806,404/123,110
  6. Step 6: Final answer
    x = 288,309.69

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.