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Finding the Third Proportional to 83,076.75 and 195,039.75

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Solution

The third proportional to 83,076.75 and 195,039.75 is: 457,895.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,076.75 : 195,039.75 = 195,039.75 : x
  2. Step 2: Convert to fraction form
    83,076.75/195,039.75 = 195,039.75/x
  3. Step 3: Cross multiply
    83,076.75x = 195,039.75 × 195,039.75
  4. Step 4: Simplify right side
    83,076.75x = 38,040,504,080.06
  5. Step 5: Solve for x
    x = 38,040,504,080.06/83,076.75
  6. Step 6: Final answer
    x = 457,895.91

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.