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Finding the Third Proportional to 100,206 and 150,033

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Solution

The third proportional to 100,206 and 150,033 is: 224,636.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,206 : 150,033 = 150,033 : x
  2. Step 2: Convert to fraction form
    100,206/150,033 = 150,033/x
  3. Step 3: Cross multiply
    100,206x = 150,033 × 150,033
  4. Step 4: Simplify right side
    100,206x = 22,509,901,089
  5. Step 5: Solve for x
    x = 22,509,901,089/100,206
  6. Step 6: Final answer
    x = 224,636.26

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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.