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Finding the Third Proportional to 104,014 and 212,950

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Solution

The third proportional to 104,014 and 212,950 is: 435,976.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,014 : 212,950 = 212,950 : x
  2. Step 2: Convert to fraction form
    104,014/212,950 = 212,950/x
  3. Step 3: Cross multiply
    104,014x = 212,950 × 212,950
  4. Step 4: Simplify right side
    104,014x = 45,347,702,500
  5. Step 5: Solve for x
    x = 45,347,702,500/104,014
  6. Step 6: Final answer
    x = 435,976.91

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.