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Finding the Third Proportional to 122,121 and 194,265

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Solution

The third proportional to 122,121 and 194,265 is: 309,028.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,121 : 194,265 = 194,265 : x
  2. Step 2: Convert to fraction form
    122,121/194,265 = 194,265/x
  3. Step 3: Cross multiply
    122,121x = 194,265 × 194,265
  4. Step 4: Simplify right side
    122,121x = 37,738,890,225
  5. Step 5: Solve for x
    x = 37,738,890,225/122,121
  6. Step 6: Final answer
    x = 309,028.67

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.