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Finding the Third Proportional to 107,041 and 235,267

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Solution

The third proportional to 107,041 and 235,267 is: 517,096.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,041 : 235,267 = 235,267 : x
  2. Step 2: Convert to fraction form
    107,041/235,267 = 235,267/x
  3. Step 3: Cross multiply
    107,041x = 235,267 × 235,267
  4. Step 4: Simplify right side
    107,041x = 55,350,561,289
  5. Step 5: Solve for x
    x = 55,350,561,289/107,041
  6. Step 6: Final answer
    x = 517,096.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.