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Finding the Third Proportional to 69,872 and 150,810

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Solution

The third proportional to 69,872 and 150,810 is: 325,504.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,872 : 150,810 = 150,810 : x
  2. Step 2: Convert to fraction form
    69,872/150,810 = 150,810/x
  3. Step 3: Cross multiply
    69,872x = 150,810 × 150,810
  4. Step 4: Simplify right side
    69,872x = 22,743,656,100
  5. Step 5: Solve for x
    x = 22,743,656,100/69,872
  6. Step 6: Final answer
    x = 325,504.58

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.