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Finding the Third Proportional to 110,004 and 165,249

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Solution

The third proportional to 110,004 and 165,249 is: 248,238.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,004 : 165,249 = 165,249 : x
  2. Step 2: Convert to fraction form
    110,004/165,249 = 165,249/x
  3. Step 3: Cross multiply
    110,004x = 165,249 × 165,249
  4. Step 4: Simplify right side
    110,004x = 27,307,232,001
  5. Step 5: Solve for x
    x = 27,307,232,001/110,004
  6. Step 6: Final answer
    x = 248,238.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.