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Finding the Third Proportional to 110,028 and 165,286

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Solution

The third proportional to 110,028 and 165,286 is: 248,295.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,028 : 165,286 = 165,286 : x
  2. Step 2: Convert to fraction form
    110,028/165,286 = 165,286/x
  3. Step 3: Cross multiply
    110,028x = 165,286 × 165,286
  4. Step 4: Simplify right side
    110,028x = 27,319,461,796
  5. Step 5: Solve for x
    x = 27,319,461,796/110,028
  6. Step 6: Final answer
    x = 248,295.54

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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.