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Finding the Third Proportional to 120,984 and 192,173

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Solution

The third proportional to 120,984 and 192,173 is: 305,250.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,984 : 192,173 = 192,173 : x
  2. Step 2: Convert to fraction form
    120,984/192,173 = 192,173/x
  3. Step 3: Cross multiply
    120,984x = 192,173 × 192,173
  4. Step 4: Simplify right side
    120,984x = 36,930,461,929
  5. Step 5: Solve for x
    x = 36,930,461,929/120,984
  6. Step 6: Final answer
    x = 305,250.79

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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.