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Finding the Third Proportional to 100,277 and 150,437

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Solution

The third proportional to 100,277 and 150,437 is: 225,687.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,277 : 150,437 = 150,437 : x
  2. Step 2: Convert to fraction form
    100,277/150,437 = 150,437/x
  3. Step 3: Cross multiply
    100,277x = 150,437 × 150,437
  4. Step 4: Simplify right side
    100,277x = 22,631,290,969
  5. Step 5: Solve for x
    x = 22,631,290,969/100,277
  6. Step 6: Final answer
    x = 225,687.75

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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.