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Finding the Third Proportional to 80,286 and 125,025

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Solution

The third proportional to 80,286 and 125,025 is: 194,694.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,286 : 125,025 = 125,025 : x
  2. Step 2: Convert to fraction form
    80,286/125,025 = 125,025/x
  3. Step 3: Cross multiply
    80,286x = 125,025 × 125,025
  4. Step 4: Simplify right side
    80,286x = 15,631,250,625
  5. Step 5: Solve for x
    x = 15,631,250,625/80,286
  6. Step 6: Final answer
    x = 194,694.60

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.