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Finding the Third Proportional to 100,008 and 154,812

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Solution

The third proportional to 100,008 and 154,812 is: 239,648.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,008 : 154,812 = 154,812 : x
  2. Step 2: Convert to fraction form
    100,008/154,812 = 154,812/x
  3. Step 3: Cross multiply
    100,008x = 154,812 × 154,812
  4. Step 4: Simplify right side
    100,008x = 23,966,755,344
  5. Step 5: Solve for x
    x = 23,966,755,344/100,008
  6. Step 6: Final answer
    x = 239,648.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.