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Finding the Third Proportional to 70,195.50 and 150,039

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Solution

The third proportional to 70,195.50 and 150,039 is: 320,700.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,195.50 : 150,039 = 150,039 : x
  2. Step 2: Convert to fraction form
    70,195.50/150,039 = 150,039/x
  3. Step 3: Cross multiply
    70,195.50x = 150,039 × 150,039
  4. Step 4: Simplify right side
    70,195.50x = 22,511,701,521
  5. Step 5: Solve for x
    x = 22,511,701,521/70,195.50
  6. Step 6: Final answer
    x = 320,700.07

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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.