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Finding the Third Proportional to 42,321 and 100,267

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Solution

The third proportional to 42,321 and 100,267 is: 237,552.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,321 : 100,267 = 100,267 : x
  2. Step 2: Convert to fraction form
    42,321/100,267 = 100,267/x
  3. Step 3: Cross multiply
    42,321x = 100,267 × 100,267
  4. Step 4: Simplify right side
    42,321x = 10,053,471,289
  5. Step 5: Solve for x
    x = 10,053,471,289/42,321
  6. Step 6: Final answer
    x = 237,552.78

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.