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Finding the Third Proportional to 55,238 and 82,857

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Solution

The third proportional to 55,238 and 82,857 is: 124,285.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,238 : 82,857 = 82,857 : x
  2. Step 2: Convert to fraction form
    55,238/82,857 = 82,857/x
  3. Step 3: Cross multiply
    55,238x = 82,857 × 82,857
  4. Step 4: Simplify right side
    55,238x = 6,865,282,449
  5. Step 5: Solve for x
    x = 6,865,282,449/55,238
  6. Step 6: Final answer
    x = 124,285.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.