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Finding the Third Proportional to 85,029.75 and 185,369.25

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Solution

The third proportional to 85,029.75 and 185,369.25 is: 404,114.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,029.75 : 185,369.25 = 185,369.25 : x
  2. Step 2: Convert to fraction form
    85,029.75/185,369.25 = 185,369.25/x
  3. Step 3: Cross multiply
    85,029.75x = 185,369.25 × 185,369.25
  4. Step 4: Simplify right side
    85,029.75x = 34,361,758,845.56
  5. Step 5: Solve for x
    x = 34,361,758,845.56/85,029.75
  6. Step 6: Final answer
    x = 404,114.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.