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Finding the Third Proportional to 70,586 and 150,742

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Solution

The third proportional to 70,586 and 150,742 is: 321,921.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,586 : 150,742 = 150,742 : x
  2. Step 2: Convert to fraction form
    70,586/150,742 = 150,742/x
  3. Step 3: Cross multiply
    70,586x = 150,742 × 150,742
  4. Step 4: Simplify right side
    70,586x = 22,723,150,564
  5. Step 5: Solve for x
    x = 22,723,150,564/70,586
  6. Step 6: Final answer
    x = 321,921.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.