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Finding the Third Proportional to 102,249 and 213,894

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Solution

The third proportional to 102,249 and 213,894 is: 447,443.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,249 : 213,894 = 213,894 : x
  2. Step 2: Convert to fraction form
    102,249/213,894 = 213,894/x
  3. Step 3: Cross multiply
    102,249x = 213,894 × 213,894
  4. Step 4: Simplify right side
    102,249x = 45,750,643,236
  5. Step 5: Solve for x
    x = 45,750,643,236/102,249
  6. Step 6: Final answer
    x = 447,443.43

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.