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Finding the Third Proportional to 95,975 and 210,094

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Solution

The third proportional to 95,975 and 210,094 is: 459,906.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,975 : 210,094 = 210,094 : x
  2. Step 2: Convert to fraction form
    95,975/210,094 = 210,094/x
  3. Step 3: Cross multiply
    95,975x = 210,094 × 210,094
  4. Step 4: Simplify right side
    95,975x = 44,139,488,836
  5. Step 5: Solve for x
    x = 44,139,488,836/95,975
  6. Step 6: Final answer
    x = 459,906.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.