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Finding the Third Proportional to 70,606 and 150,680

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Solution

The third proportional to 70,606 and 150,680 is: 321,565.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,606 : 150,680 = 150,680 : x
  2. Step 2: Convert to fraction form
    70,606/150,680 = 150,680/x
  3. Step 3: Cross multiply
    70,606x = 150,680 × 150,680
  4. Step 4: Simplify right side
    70,606x = 22,704,462,400
  5. Step 5: Solve for x
    x = 22,704,462,400/70,606
  6. Step 6: Final answer
    x = 321,565.62

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.