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Finding the Third Proportional to 103,736 and 211,274

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Solution

The third proportional to 103,736 and 211,274 is: 430,291.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,736 : 211,274 = 211,274 : x
  2. Step 2: Convert to fraction form
    103,736/211,274 = 211,274/x
  3. Step 3: Cross multiply
    103,736x = 211,274 × 211,274
  4. Step 4: Simplify right side
    103,736x = 44,636,703,076
  5. Step 5: Solve for x
    x = 44,636,703,076/103,736
  6. Step 6: Final answer
    x = 430,291.35

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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.