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Finding the Third Proportional to 69,828 and 150,726

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Solution

The third proportional to 69,828 and 150,726 is: 325,346.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,828 : 150,726 = 150,726 : x
  2. Step 2: Convert to fraction form
    69,828/150,726 = 150,726/x
  3. Step 3: Cross multiply
    69,828x = 150,726 × 150,726
  4. Step 4: Simplify right side
    69,828x = 22,718,327,076
  5. Step 5: Solve for x
    x = 22,718,327,076/69,828
  6. Step 6: Final answer
    x = 325,346.95

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Why These Related Problems?

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