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Finding the Third Proportional to 100,354 and 155,027

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Solution

The third proportional to 100,354 and 155,027 is: 239,485.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,354 : 155,027 = 155,027 : x
  2. Step 2: Convert to fraction form
    100,354/155,027 = 155,027/x
  3. Step 3: Cross multiply
    100,354x = 155,027 × 155,027
  4. Step 4: Simplify right side
    100,354x = 24,033,370,729
  5. Step 5: Solve for x
    x = 24,033,370,729/100,354
  6. Step 6: Final answer
    x = 239,485.93

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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.