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Finding the Third Proportional to 53,805 and 106,232

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Solution

The third proportional to 53,805 and 106,232 is: 209,743.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,805 : 106,232 = 106,232 : x
  2. Step 2: Convert to fraction form
    53,805/106,232 = 106,232/x
  3. Step 3: Cross multiply
    53,805x = 106,232 × 106,232
  4. Step 4: Simplify right side
    53,805x = 11,285,237,824
  5. Step 5: Solve for x
    x = 11,285,237,824/53,805
  6. Step 6: Final answer
    x = 209,743.29

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.