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Finding the Third Proportional to 70,163 and 150,289

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Solution

The third proportional to 70,163 and 150,289 is: 321,918.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,163 : 150,289 = 150,289 : x
  2. Step 2: Convert to fraction form
    70,163/150,289 = 150,289/x
  3. Step 3: Cross multiply
    70,163x = 150,289 × 150,289
  4. Step 4: Simplify right side
    70,163x = 22,586,783,521
  5. Step 5: Solve for x
    x = 22,586,783,521/70,163
  6. Step 6: Final answer
    x = 321,918.73

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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.