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Finding the Third Proportional to 95,270 and 213,094

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Solution

The third proportional to 95,270 and 213,094 is: 476,635.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,270 : 213,094 = 213,094 : x
  2. Step 2: Convert to fraction form
    95,270/213,094 = 213,094/x
  3. Step 3: Cross multiply
    95,270x = 213,094 × 213,094
  4. Step 4: Simplify right side
    95,270x = 45,409,052,836
  5. Step 5: Solve for x
    x = 45,409,052,836/95,270
  6. Step 6: Final answer
    x = 476,635.38

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.