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Finding the Third Proportional to 122,634 and 190,512

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Solution

The third proportional to 122,634 and 190,512 is: 295,960.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,634 : 190,512 = 190,512 : x
  2. Step 2: Convert to fraction form
    122,634/190,512 = 190,512/x
  3. Step 3: Cross multiply
    122,634x = 190,512 × 190,512
  4. Step 4: Simplify right side
    122,634x = 36,294,822,144
  5. Step 5: Solve for x
    x = 36,294,822,144/122,634
  6. Step 6: Final answer
    x = 295,960.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.