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Finding the Third Proportional to 122,025 and 262,782

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Solution

The third proportional to 122,025 and 262,782 is: 565,903.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,025 : 262,782 = 262,782 : x
  2. Step 2: Convert to fraction form
    122,025/262,782 = 262,782/x
  3. Step 3: Cross multiply
    122,025x = 262,782 × 262,782
  4. Step 4: Simplify right side
    122,025x = 69,054,379,524
  5. Step 5: Solve for x
    x = 69,054,379,524/122,025
  6. Step 6: Final answer
    x = 565,903.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.