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Finding the Third Proportional to 85,884 and 183,183

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Solution

The third proportional to 85,884 and 183,183 is: 390,713.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,884 : 183,183 = 183,183 : x
  2. Step 2: Convert to fraction form
    85,884/183,183 = 183,183/x
  3. Step 3: Cross multiply
    85,884x = 183,183 × 183,183
  4. Step 4: Simplify right side
    85,884x = 33,556,011,489
  5. Step 5: Solve for x
    x = 33,556,011,489/85,884
  6. Step 6: Final answer
    x = 390,713.19

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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.