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Finding the Third Proportional to 120,955 and 192,125

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Solution

The third proportional to 120,955 and 192,125 is: 305,171.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,955 : 192,125 = 192,125 : x
  2. Step 2: Convert to fraction form
    120,955/192,125 = 192,125/x
  3. Step 3: Cross multiply
    120,955x = 192,125 × 192,125
  4. Step 4: Simplify right side
    120,955x = 36,912,015,625
  5. Step 5: Solve for x
    x = 36,912,015,625/120,955
  6. Step 6: Final answer
    x = 305,171.47

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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.