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Finding the Third Proportional to 110,627.25 and 166,049.25

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Solution

The third proportional to 110,627.25 and 166,049.25 is: 249,236.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,627.25 : 166,049.25 = 166,049.25 : x
  2. Step 2: Convert to fraction form
    110,627.25/166,049.25 = 166,049.25/x
  3. Step 3: Cross multiply
    110,627.25x = 166,049.25 × 166,049.25
  4. Step 4: Simplify right side
    110,627.25x = 27,572,353,425.56
  5. Step 5: Solve for x
    x = 27,572,353,425.56/110,627.25
  6. Step 6: Final answer
    x = 249,236.54

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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.