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Finding the Third Proportional to 124,542 and 188,109

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Solution

The third proportional to 124,542 and 188,109 is: 284,120.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,542 : 188,109 = 188,109 : x
  2. Step 2: Convert to fraction form
    124,542/188,109 = 188,109/x
  3. Step 3: Cross multiply
    124,542x = 188,109 × 188,109
  4. Step 4: Simplify right side
    124,542x = 35,384,995,881
  5. Step 5: Solve for x
    x = 35,384,995,881/124,542
  6. Step 6: Final answer
    x = 284,120.99

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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.