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Finding the Third Proportional to 53,467 and 80,405

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Solution

The third proportional to 53,467 and 80,405 is: 120,915.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,467 : 80,405 = 80,405 : x
  2. Step 2: Convert to fraction form
    53,467/80,405 = 80,405/x
  3. Step 3: Cross multiply
    53,467x = 80,405 × 80,405
  4. Step 4: Simplify right side
    53,467x = 6,464,964,025
  5. Step 5: Solve for x
    x = 6,464,964,025/53,467
  6. Step 6: Final answer
    x = 120,915.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.