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Finding the Third Proportional to 122,933 and 192,008

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Solution

The third proportional to 122,933 and 192,008 is: 299,895.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,933 : 192,008 = 192,008 : x
  2. Step 2: Convert to fraction form
    122,933/192,008 = 192,008/x
  3. Step 3: Cross multiply
    122,933x = 192,008 × 192,008
  4. Step 4: Simplify right side
    122,933x = 36,867,072,064
  5. Step 5: Solve for x
    x = 36,867,072,064/122,933
  6. Step 6: Final answer
    x = 299,895.65

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.