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Finding the Third Proportional to 100,122 and 232,809

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Solution

The third proportional to 100,122 and 232,809 is: 541,339.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,122 : 232,809 = 232,809 : x
  2. Step 2: Convert to fraction form
    100,122/232,809 = 232,809/x
  3. Step 3: Cross multiply
    100,122x = 232,809 × 232,809
  4. Step 4: Simplify right side
    100,122x = 54,200,030,481
  5. Step 5: Solve for x
    x = 54,200,030,481/100,122
  6. Step 6: Final answer
    x = 541,339.87

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.