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Finding the Third Proportional to 122,041 and 188,951

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Solution

The third proportional to 122,041 and 188,951 is: 292,544.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,041 : 188,951 = 188,951 : x
  2. Step 2: Convert to fraction form
    122,041/188,951 = 188,951/x
  3. Step 3: Cross multiply
    122,041x = 188,951 × 188,951
  4. Step 4: Simplify right side
    122,041x = 35,702,480,401
  5. Step 5: Solve for x
    x = 35,702,480,401/122,041
  6. Step 6: Final answer
    x = 292,544.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.