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Finding the Third Proportional to 70,128 and 150,219

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Solution

The third proportional to 70,128 and 150,219 is: 321,779.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,128 : 150,219 = 150,219 : x
  2. Step 2: Convert to fraction form
    70,128/150,219 = 150,219/x
  3. Step 3: Cross multiply
    70,128x = 150,219 × 150,219
  4. Step 4: Simplify right side
    70,128x = 22,565,747,961
  5. Step 5: Solve for x
    x = 22,565,747,961/70,128
  6. Step 6: Final answer
    x = 321,779.43

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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.