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Finding the Third Proportional to 68,278.50 and 150,107.25

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Solution

The third proportional to 68,278.50 and 150,107.25 is: 330,004.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,278.50 : 150,107.25 = 150,107.25 : x
  2. Step 2: Convert to fraction form
    68,278.50/150,107.25 = 150,107.25/x
  3. Step 3: Cross multiply
    68,278.50x = 150,107.25 × 150,107.25
  4. Step 4: Simplify right side
    68,278.50x = 22,532,186,502.56
  5. Step 5: Solve for x
    x = 22,532,186,502.56/68,278.50
  6. Step 6: Final answer
    x = 330,004.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.