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Finding the Third Proportional to 124,540 and 188,108

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Solution

The third proportional to 124,540 and 188,108 is: 284,122.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,540 : 188,108 = 188,108 : x
  2. Step 2: Convert to fraction form
    124,540/188,108 = 188,108/x
  3. Step 3: Cross multiply
    124,540x = 188,108 × 188,108
  4. Step 4: Simplify right side
    124,540x = 35,384,619,664
  5. Step 5: Solve for x
    x = 35,384,619,664/124,540
  6. Step 6: Final answer
    x = 284,122.53

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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.