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Finding the Third Proportional to 100,967 and 155,661

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Solution

The third proportional to 100,967 and 155,661 is: 239,982.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,967 : 155,661 = 155,661 : x
  2. Step 2: Convert to fraction form
    100,967/155,661 = 155,661/x
  3. Step 3: Cross multiply
    100,967x = 155,661 × 155,661
  4. Step 4: Simplify right side
    100,967x = 24,230,346,921
  5. Step 5: Solve for x
    x = 24,230,346,921/100,967
  6. Step 6: Final answer
    x = 239,982.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.