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Finding the Third Proportional to 122,211 and 185,661

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Solution

The third proportional to 122,211 and 185,661 is: 282,053.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,211 : 185,661 = 185,661 : x
  2. Step 2: Convert to fraction form
    122,211/185,661 = 185,661/x
  3. Step 3: Cross multiply
    122,211x = 185,661 × 185,661
  4. Step 4: Simplify right side
    122,211x = 34,470,006,921
  5. Step 5: Solve for x
    x = 34,470,006,921/122,211
  6. Step 6: Final answer
    x = 282,053.23

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.