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Finding the Third Proportional to 95,425 and 203,971

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Solution

The third proportional to 95,425 and 203,971 is: 435,988.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,425 : 203,971 = 203,971 : x
  2. Step 2: Convert to fraction form
    95,425/203,971 = 203,971/x
  3. Step 3: Cross multiply
    95,425x = 203,971 × 203,971
  4. Step 4: Simplify right side
    95,425x = 41,604,168,841
  5. Step 5: Solve for x
    x = 41,604,168,841/95,425
  6. Step 6: Final answer
    x = 435,988.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.