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Finding the Third Proportional to 71,021 and 155,405

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Solution

The third proportional to 71,021 and 155,405 is: 340,050.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,021 : 155,405 = 155,405 : x
  2. Step 2: Convert to fraction form
    71,021/155,405 = 155,405/x
  3. Step 3: Cross multiply
    71,021x = 155,405 × 155,405
  4. Step 4: Simplify right side
    71,021x = 24,150,714,025
  5. Step 5: Solve for x
    x = 24,150,714,025/71,021
  6. Step 6: Final answer
    x = 340,050.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.