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Finding the Third Proportional to 69,037 and 150,996

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Solution

The third proportional to 69,037 and 150,996 is: 330,254.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,037 : 150,996 = 150,996 : x
  2. Step 2: Convert to fraction form
    69,037/150,996 = 150,996/x
  3. Step 3: Cross multiply
    69,037x = 150,996 × 150,996
  4. Step 4: Simplify right side
    69,037x = 22,799,792,016
  5. Step 5: Solve for x
    x = 22,799,792,016/69,037
  6. Step 6: Final answer
    x = 330,254.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.