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Finding the Third Proportional to 121,004 and 263,002

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Solution

The third proportional to 121,004 and 263,002 is: 571,634.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,004 : 263,002 = 263,002 : x
  2. Step 2: Convert to fraction form
    121,004/263,002 = 263,002/x
  3. Step 3: Cross multiply
    121,004x = 263,002 × 263,002
  4. Step 4: Simplify right side
    121,004x = 69,170,052,004
  5. Step 5: Solve for x
    x = 69,170,052,004/121,004
  6. Step 6: Final answer
    x = 571,634.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.