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Finding the Third Proportional to 68,040 and 150,176

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Solution

The third proportional to 68,040 and 150,176 is: 331,464.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,040 : 150,176 = 150,176 : x
  2. Step 2: Convert to fraction form
    68,040/150,176 = 150,176/x
  3. Step 3: Cross multiply
    68,040x = 150,176 × 150,176
  4. Step 4: Simplify right side
    68,040x = 22,552,830,976
  5. Step 5: Solve for x
    x = 22,552,830,976/68,040
  6. Step 6: Final answer
    x = 331,464.30

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.