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Finding the Third Proportional to 100,605 and 150,918

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Solution

The third proportional to 100,605 and 150,918 is: 226,392.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,605 : 150,918 = 150,918 : x
  2. Step 2: Convert to fraction form
    100,605/150,918 = 150,918/x
  3. Step 3: Cross multiply
    100,605x = 150,918 × 150,918
  4. Step 4: Simplify right side
    100,605x = 22,776,242,724
  5. Step 5: Solve for x
    x = 22,776,242,724/100,605
  6. Step 6: Final answer
    x = 226,392.75

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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.