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Finding the Third Proportional to 100,178 and 150,015

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Solution

The third proportional to 100,178 and 150,015 is: 224,645.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,178 : 150,015 = 150,015 : x
  2. Step 2: Convert to fraction form
    100,178/150,015 = 150,015/x
  3. Step 3: Cross multiply
    100,178x = 150,015 × 150,015
  4. Step 4: Simplify right side
    100,178x = 22,504,500,225
  5. Step 5: Solve for x
    x = 22,504,500,225/100,178
  6. Step 6: Final answer
    x = 224,645.13

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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.