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Finding the Third Proportional to 102,736 and 213,536

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Solution

The third proportional to 102,736 and 213,536 is: 443,832.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,736 : 213,536 = 213,536 : x
  2. Step 2: Convert to fraction form
    102,736/213,536 = 213,536/x
  3. Step 3: Cross multiply
    102,736x = 213,536 × 213,536
  4. Step 4: Simplify right side
    102,736x = 45,597,623,296
  5. Step 5: Solve for x
    x = 45,597,623,296/102,736
  6. Step 6: Final answer
    x = 443,832.96

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.