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Finding the Third Proportional to 124,540 and 188,104

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Solution

The third proportional to 124,540 and 188,104 is: 284,110.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,540 : 188,104 = 188,104 : x
  2. Step 2: Convert to fraction form
    124,540/188,104 = 188,104/x
  3. Step 3: Cross multiply
    124,540x = 188,104 × 188,104
  4. Step 4: Simplify right side
    124,540x = 35,383,114,816
  5. Step 5: Solve for x
    x = 35,383,114,816/124,540
  6. Step 6: Final answer
    x = 284,110.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.