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Finding the Third Proportional to 69,754 and 150,686

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Solution

The third proportional to 69,754 and 150,686 is: 325,519.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,754 : 150,686 = 150,686 : x
  2. Step 2: Convert to fraction form
    69,754/150,686 = 150,686/x
  3. Step 3: Cross multiply
    69,754x = 150,686 × 150,686
  4. Step 4: Simplify right side
    69,754x = 22,706,270,596
  5. Step 5: Solve for x
    x = 22,706,270,596/69,754
  6. Step 6: Final answer
    x = 325,519.26

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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.