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Finding the Third Proportional to 122,007 and 223,764

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Solution

The third proportional to 122,007 and 223,764 is: 410,388.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,007 : 223,764 = 223,764 : x
  2. Step 2: Convert to fraction form
    122,007/223,764 = 223,764/x
  3. Step 3: Cross multiply
    122,007x = 223,764 × 223,764
  4. Step 4: Simplify right side
    122,007x = 50,070,327,696
  5. Step 5: Solve for x
    x = 50,070,327,696/122,007
  6. Step 6: Final answer
    x = 410,388.98

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.