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Finding the Third Proportional to 107,673 and 150,883

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Solution

The third proportional to 107,673 and 150,883 is: 211,433.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,673 : 150,883 = 150,883 : x
  2. Step 2: Convert to fraction form
    107,673/150,883 = 150,883/x
  3. Step 3: Cross multiply
    107,673x = 150,883 × 150,883
  4. Step 4: Simplify right side
    107,673x = 22,765,679,689
  5. Step 5: Solve for x
    x = 22,765,679,689/107,673
  6. Step 6: Final answer
    x = 211,433.50

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Why These Related Problems?

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