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Finding the Third Proportional to 95,618 and 202,171

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Solution

The third proportional to 95,618 and 202,171 is: 427,462.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,618 : 202,171 = 202,171 : x
  2. Step 2: Convert to fraction form
    95,618/202,171 = 202,171/x
  3. Step 3: Cross multiply
    95,618x = 202,171 × 202,171
  4. Step 4: Simplify right side
    95,618x = 40,873,113,241
  5. Step 5: Solve for x
    x = 40,873,113,241/95,618
  6. Step 6: Final answer
    x = 427,462.54

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.