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Finding the Third Proportional to 67,568 and 156,405

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Solution

The third proportional to 67,568 and 156,405 is: 362,043.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,568 : 156,405 = 156,405 : x
  2. Step 2: Convert to fraction form
    67,568/156,405 = 156,405/x
  3. Step 3: Cross multiply
    67,568x = 156,405 × 156,405
  4. Step 4: Simplify right side
    67,568x = 24,462,524,025
  5. Step 5: Solve for x
    x = 24,462,524,025/67,568
  6. Step 6: Final answer
    x = 362,043.04

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.