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Finding the Third Proportional to 83,787.75 and 179,570.25

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Solution

The third proportional to 83,787.75 and 179,570.25 is: 384,847.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,787.75 : 179,570.25 = 179,570.25 : x
  2. Step 2: Convert to fraction form
    83,787.75/179,570.25 = 179,570.25/x
  3. Step 3: Cross multiply
    83,787.75x = 179,570.25 × 179,570.25
  4. Step 4: Simplify right side
    83,787.75x = 32,245,474,685.06
  5. Step 5: Solve for x
    x = 32,245,474,685.06/83,787.75
  6. Step 6: Final answer
    x = 384,847.12

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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.