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Finding the Third Proportional to 100,811 and 152,027

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Solution

The third proportional to 100,811 and 152,027 is: 229,262.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,811 : 152,027 = 152,027 : x
  2. Step 2: Convert to fraction form
    100,811/152,027 = 152,027/x
  3. Step 3: Cross multiply
    100,811x = 152,027 × 152,027
  4. Step 4: Simplify right side
    100,811x = 23,112,208,729
  5. Step 5: Solve for x
    x = 23,112,208,729/100,811
  6. Step 6: Final answer
    x = 229,262.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.