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Finding the Third Proportional to 53,552 and 115,384

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Solution

The third proportional to 53,552 and 115,384 is: 248,608.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,552 : 115,384 = 115,384 : x
  2. Step 2: Convert to fraction form
    53,552/115,384 = 115,384/x
  3. Step 3: Cross multiply
    53,552x = 115,384 × 115,384
  4. Step 4: Simplify right side
    53,552x = 13,313,467,456
  5. Step 5: Solve for x
    x = 13,313,467,456/53,552
  6. Step 6: Final answer
    x = 248,608.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.