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Finding the Third Proportional to 69,648 and 150,960

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Solution

The third proportional to 69,648 and 150,960 is: 327,201.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,648 : 150,960 = 150,960 : x
  2. Step 2: Convert to fraction form
    69,648/150,960 = 150,960/x
  3. Step 3: Cross multiply
    69,648x = 150,960 × 150,960
  4. Step 4: Simplify right side
    69,648x = 22,788,921,600
  5. Step 5: Solve for x
    x = 22,788,921,600/69,648
  6. Step 6: Final answer
    x = 327,201.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.