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Finding the Third Proportional to 83,787.75 and 179,568.75

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Solution

The third proportional to 83,787.75 and 179,568.75 is: 384,840.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,787.75 : 179,568.75 = 179,568.75 : x
  2. Step 2: Convert to fraction form
    83,787.75/179,568.75 = 179,568.75/x
  3. Step 3: Cross multiply
    83,787.75x = 179,568.75 × 179,568.75
  4. Step 4: Simplify right side
    83,787.75x = 32,244,935,976.56
  5. Step 5: Solve for x
    x = 32,244,935,976.56/83,787.75
  6. Step 6: Final answer
    x = 384,840.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.