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Finding the Third Proportional to 69,237 and 150,623

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Solution

The third proportional to 69,237 and 150,623 is: 327,675.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,237 : 150,623 = 150,623 : x
  2. Step 2: Convert to fraction form
    69,237/150,623 = 150,623/x
  3. Step 3: Cross multiply
    69,237x = 150,623 × 150,623
  4. Step 4: Simplify right side
    69,237x = 22,687,288,129
  5. Step 5: Solve for x
    x = 22,687,288,129/69,237
  6. Step 6: Final answer
    x = 327,675.78

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.