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Finding the Third Proportional to 69,310 and 150,274

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Solution

The third proportional to 69,310 and 150,274 is: 325,815.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,310 : 150,274 = 150,274 : x
  2. Step 2: Convert to fraction form
    69,310/150,274 = 150,274/x
  3. Step 3: Cross multiply
    69,310x = 150,274 × 150,274
  4. Step 4: Simplify right side
    69,310x = 22,582,275,076
  5. Step 5: Solve for x
    x = 22,582,275,076/69,310
  6. Step 6: Final answer
    x = 325,815.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.