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Finding the Third Proportional to 85,883 and 183,181

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Solution

The third proportional to 85,883 and 183,181 is: 390,709.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,883 : 183,181 = 183,181 : x
  2. Step 2: Convert to fraction form
    85,883/183,181 = 183,181/x
  3. Step 3: Cross multiply
    85,883x = 183,181 × 183,181
  4. Step 4: Simplify right side
    85,883x = 33,555,278,761
  5. Step 5: Solve for x
    x = 33,555,278,761/85,883
  6. Step 6: Final answer
    x = 390,709.21

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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.