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Finding the Third Proportional to 85,982.06 and 185,145.75

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Solution

The third proportional to 85,982.06 and 185,145.75 is: 398,675.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,982.06 : 185,145.75 = 185,145.75 : x
  2. Step 2: Convert to fraction form
    85,982.06/185,145.75 = 185,145.75/x
  3. Step 3: Cross multiply
    85,982.06x = 185,145.75 × 185,145.75
  4. Step 4: Simplify right side
    85,982.06x = 34,278,948,743.06
  5. Step 5: Solve for x
    x = 34,278,948,743.06/85,982.06
  6. Step 6: Final answer
    x = 398,675.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.