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Finding the Third Proportional to 69,573 and 150,262

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Solution

The third proportional to 69,573 and 150,262 is: 324,532.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,573 : 150,262 = 150,262 : x
  2. Step 2: Convert to fraction form
    69,573/150,262 = 150,262/x
  3. Step 3: Cross multiply
    69,573x = 150,262 × 150,262
  4. Step 4: Simplify right side
    69,573x = 22,578,668,644
  5. Step 5: Solve for x
    x = 22,578,668,644/69,573
  6. Step 6: Final answer
    x = 324,532.05

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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.