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Finding the Third Proportional to 122,014 and 194,108

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Solution

The third proportional to 122,014 and 194,108 is: 308,799.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,014 : 194,108 = 194,108 : x
  2. Step 2: Convert to fraction form
    122,014/194,108 = 194,108/x
  3. Step 3: Cross multiply
    122,014x = 194,108 × 194,108
  4. Step 4: Simplify right side
    122,014x = 37,677,915,664
  5. Step 5: Solve for x
    x = 37,677,915,664/122,014
  6. Step 6: Final answer
    x = 308,799.94

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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.