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Finding the Third Proportional to 100,411 and 150,620

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Solution

The third proportional to 100,411 and 150,620 is: 225,935.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,411 : 150,620 = 150,620 : x
  2. Step 2: Convert to fraction form
    100,411/150,620 = 150,620/x
  3. Step 3: Cross multiply
    100,411x = 150,620 × 150,620
  4. Step 4: Simplify right side
    100,411x = 22,686,384,400
  5. Step 5: Solve for x
    x = 22,686,384,400/100,411
  6. Step 6: Final answer
    x = 225,935.25

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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.