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Finding the Third Proportional to 122,762 and 263,004

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Solution

The third proportional to 122,762 and 263,004 is: 563,456.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,762 : 263,004 = 263,004 : x
  2. Step 2: Convert to fraction form
    122,762/263,004 = 263,004/x
  3. Step 3: Cross multiply
    122,762x = 263,004 × 263,004
  4. Step 4: Simplify right side
    122,762x = 69,171,104,016
  5. Step 5: Solve for x
    x = 69,171,104,016/122,762
  6. Step 6: Final answer
    x = 563,456.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.