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Finding the Third Proportional to 122,716 and 193,962

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Solution

The third proportional to 122,716 and 193,962 is: 306,571.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,716 : 193,962 = 193,962 : x
  2. Step 2: Convert to fraction form
    122,716/193,962 = 193,962/x
  3. Step 3: Cross multiply
    122,716x = 193,962 × 193,962
  4. Step 4: Simplify right side
    122,716x = 37,621,257,444
  5. Step 5: Solve for x
    x = 37,621,257,444/122,716
  6. Step 6: Final answer
    x = 306,571.74

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.