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Finding the Third Proportional to 107,276 and 150,050

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Solution

The third proportional to 107,276 and 150,050 is: 209,879.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,276 : 150,050 = 150,050 : x
  2. Step 2: Convert to fraction form
    107,276/150,050 = 150,050/x
  3. Step 3: Cross multiply
    107,276x = 150,050 × 150,050
  4. Step 4: Simplify right side
    107,276x = 22,515,002,500
  5. Step 5: Solve for x
    x = 22,515,002,500/107,276
  6. Step 6: Final answer
    x = 209,879.21

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.