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Finding the Third Proportional to 54,837 and 82,857

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Solution

The third proportional to 54,837 and 82,857 is: 125,194.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,837 : 82,857 = 82,857 : x
  2. Step 2: Convert to fraction form
    54,837/82,857 = 82,857/x
  3. Step 3: Cross multiply
    54,837x = 82,857 × 82,857
  4. Step 4: Simplify right side
    54,837x = 6,865,282,449
  5. Step 5: Solve for x
    x = 6,865,282,449/54,837
  6. Step 6: Final answer
    x = 125,194.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.