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Finding the Third Proportional to 107,671 and 150,880

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Solution

The third proportional to 107,671 and 150,880 is: 211,429.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,671 : 150,880 = 150,880 : x
  2. Step 2: Convert to fraction form
    107,671/150,880 = 150,880/x
  3. Step 3: Cross multiply
    107,671x = 150,880 × 150,880
  4. Step 4: Simplify right side
    107,671x = 22,764,774,400
  5. Step 5: Solve for x
    x = 22,764,774,400/107,671
  6. Step 6: Final answer
    x = 211,429.02

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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.