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Finding the Third Proportional to 100,830 and 151,218

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Solution

The third proportional to 100,830 and 151,218 is: 226,786.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,830 : 151,218 = 151,218 : x
  2. Step 2: Convert to fraction form
    100,830/151,218 = 151,218/x
  3. Step 3: Cross multiply
    100,830x = 151,218 × 151,218
  4. Step 4: Simplify right side
    100,830x = 22,866,883,524
  5. Step 5: Solve for x
    x = 22,866,883,524/100,830
  6. Step 6: Final answer
    x = 226,786.51

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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.