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Finding the Third Proportional to 70,147 and 150,162.50

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Solution

The third proportional to 70,147 and 150,162.50 is: 321,450.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,147 : 150,162.50 = 150,162.50 : x
  2. Step 2: Convert to fraction form
    70,147/150,162.50 = 150,162.50/x
  3. Step 3: Cross multiply
    70,147x = 150,162.50 × 150,162.50
  4. Step 4: Simplify right side
    70,147x = 22,548,776,406.25
  5. Step 5: Solve for x
    x = 22,548,776,406.25/70,147
  6. Step 6: Final answer
    x = 321,450.33

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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.