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Finding the Third Proportional to 86,252 and 188,536

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Solution

The third proportional to 86,252 and 188,536 is: 412,115.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,252 : 188,536 = 188,536 : x
  2. Step 2: Convert to fraction form
    86,252/188,536 = 188,536/x
  3. Step 3: Cross multiply
    86,252x = 188,536 × 188,536
  4. Step 4: Simplify right side
    86,252x = 35,545,823,296
  5. Step 5: Solve for x
    x = 35,545,823,296/86,252
  6. Step 6: Final answer
    x = 412,115.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.