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Finding the Third Proportional to 70,576.88 and 150,971.63

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Solution

The third proportional to 70,576.88 and 150,971.63 is: 322,944.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,576.88 : 150,971.63 = 150,971.63 : x
  2. Step 2: Convert to fraction form
    70,576.88/150,971.63 = 150,971.63/x
  3. Step 3: Cross multiply
    70,576.88x = 150,971.63 × 150,971.63
  4. Step 4: Simplify right side
    70,576.88x = 22,792,431,555.14
  5. Step 5: Solve for x
    x = 22,792,431,555.14/70,576.88
  6. Step 6: Final answer
    x = 322,944.75

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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.