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Finding the Third Proportional to 110,003 and 241,021

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Solution

The third proportional to 110,003 and 241,021 is: 528,086.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,003 : 241,021 = 241,021 : x
  2. Step 2: Convert to fraction form
    110,003/241,021 = 241,021/x
  3. Step 3: Cross multiply
    110,003x = 241,021 × 241,021
  4. Step 4: Simplify right side
    110,003x = 58,091,122,441
  5. Step 5: Solve for x
    x = 58,091,122,441/110,003
  6. Step 6: Final answer
    x = 528,086.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.