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Finding the Third Proportional to 122,126 and 262,666

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Solution

The third proportional to 122,126 and 262,666 is: 564,936.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,126 : 262,666 = 262,666 : x
  2. Step 2: Convert to fraction form
    122,126/262,666 = 262,666/x
  3. Step 3: Cross multiply
    122,126x = 262,666 × 262,666
  4. Step 4: Simplify right side
    122,126x = 68,993,427,556
  5. Step 5: Solve for x
    x = 68,993,427,556/122,126
  6. Step 6: Final answer
    x = 564,936.44

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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.