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Finding the Third Proportional to 110,001 and 241,017

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Solution

The third proportional to 110,001 and 241,017 is: 528,078.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,001 : 241,017 = 241,017 : x
  2. Step 2: Convert to fraction form
    110,001/241,017 = 241,017/x
  3. Step 3: Cross multiply
    110,001x = 241,017 × 241,017
  4. Step 4: Simplify right side
    110,001x = 58,089,194,289
  5. Step 5: Solve for x
    x = 58,089,194,289/110,001
  6. Step 6: Final answer
    x = 528,078.78

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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.