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Finding the Third Proportional to 100,334 and 150,010

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Solution

The third proportional to 100,334 and 150,010 is: 224,280.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,334 : 150,010 = 150,010 : x
  2. Step 2: Convert to fraction form
    100,334/150,010 = 150,010/x
  3. Step 3: Cross multiply
    100,334x = 150,010 × 150,010
  4. Step 4: Simplify right side
    100,334x = 22,503,000,100
  5. Step 5: Solve for x
    x = 22,503,000,100/100,334
  6. Step 6: Final answer
    x = 224,280.90

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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.