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Finding the Third Proportional to 85,965.75 and 183,003.75

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Solution

The third proportional to 85,965.75 and 183,003.75 is: 389,578.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,965.75 : 183,003.75 = 183,003.75 : x
  2. Step 2: Convert to fraction form
    85,965.75/183,003.75 = 183,003.75/x
  3. Step 3: Cross multiply
    85,965.75x = 183,003.75 × 183,003.75
  4. Step 4: Simplify right side
    85,965.75x = 33,490,372,514.06
  5. Step 5: Solve for x
    x = 33,490,372,514.06/85,965.75
  6. Step 6: Final answer
    x = 389,578.09

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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.