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Finding the Third Proportional to 69,139 and 150,792.75

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Solution

The third proportional to 69,139 and 150,792.75 is: 328,880.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,139 : 150,792.75 = 150,792.75 : x
  2. Step 2: Convert to fraction form
    69,139/150,792.75 = 150,792.75/x
  3. Step 3: Cross multiply
    69,139x = 150,792.75 × 150,792.75
  4. Step 4: Simplify right side
    69,139x = 22,738,453,452.56
  5. Step 5: Solve for x
    x = 22,738,453,452.56/69,139
  6. Step 6: Final answer
    x = 328,880.28

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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.