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Finding the Third Proportional to 100,270 and 214,071

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Solution

The third proportional to 100,270 and 214,071 is: 457,029.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,270 : 214,071 = 214,071 : x
  2. Step 2: Convert to fraction form
    100,270/214,071 = 214,071/x
  3. Step 3: Cross multiply
    100,270x = 214,071 × 214,071
  4. Step 4: Simplify right side
    100,270x = 45,826,393,041
  5. Step 5: Solve for x
    x = 45,826,393,041/100,270
  6. Step 6: Final answer
    x = 457,029.95

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.