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Finding the Third Proportional to 103,354 and 211,094

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Solution

The third proportional to 103,354 and 211,094 is: 431,146.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,354 : 211,094 = 211,094 : x
  2. Step 2: Convert to fraction form
    103,354/211,094 = 211,094/x
  3. Step 3: Cross multiply
    103,354x = 211,094 × 211,094
  4. Step 4: Simplify right side
    103,354x = 44,560,676,836
  5. Step 5: Solve for x
    x = 44,560,676,836/103,354
  6. Step 6: Final answer
    x = 431,146.13

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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.