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Finding the Third Proportional to 104,016 and 212,964

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Solution

The third proportional to 104,016 and 212,964 is: 436,025.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,016 : 212,964 = 212,964 : x
  2. Step 2: Convert to fraction form
    104,016/212,964 = 212,964/x
  3. Step 3: Cross multiply
    104,016x = 212,964 × 212,964
  4. Step 4: Simplify right side
    104,016x = 45,353,665,296
  5. Step 5: Solve for x
    x = 45,353,665,296/104,016
  6. Step 6: Final answer
    x = 436,025.85

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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.