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Finding the Third Proportional to 104,069 and 212,026

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Solution

The third proportional to 104,069 and 212,026 is: 431,973.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,069 : 212,026 = 212,026 : x
  2. Step 2: Convert to fraction form
    104,069/212,026 = 212,026/x
  3. Step 3: Cross multiply
    104,069x = 212,026 × 212,026
  4. Step 4: Simplify right side
    104,069x = 44,955,024,676
  5. Step 5: Solve for x
    x = 44,955,024,676/104,069
  6. Step 6: Final answer
    x = 431,973.26

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.