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Finding the Third Proportional to 53,206 and 115,267

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Solution

The third proportional to 53,206 and 115,267 is: 249,717.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,206 : 115,267 = 115,267 : x
  2. Step 2: Convert to fraction form
    53,206/115,267 = 115,267/x
  3. Step 3: Cross multiply
    53,206x = 115,267 × 115,267
  4. Step 4: Simplify right side
    53,206x = 13,286,481,289
  5. Step 5: Solve for x
    x = 13,286,481,289/53,206
  6. Step 6: Final answer
    x = 249,717.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.