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Finding the Third Proportional to 86,277 and 133,265

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Solution

The third proportional to 86,277 and 133,265 is: 205,843.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,277 : 133,265 = 133,265 : x
  2. Step 2: Convert to fraction form
    86,277/133,265 = 133,265/x
  3. Step 3: Cross multiply
    86,277x = 133,265 × 133,265
  4. Step 4: Simplify right side
    86,277x = 17,759,560,225
  5. Step 5: Solve for x
    x = 17,759,560,225/86,277
  6. Step 6: Final answer
    x = 205,843.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.