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Finding the Third Proportional to 53,544 and 115,232

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Solution

The third proportional to 53,544 and 115,232 is: 247,990.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,544 : 115,232 = 115,232 : x
  2. Step 2: Convert to fraction form
    53,544/115,232 = 115,232/x
  3. Step 3: Cross multiply
    53,544x = 115,232 × 115,232
  4. Step 4: Simplify right side
    53,544x = 13,278,413,824
  5. Step 5: Solve for x
    x = 13,278,413,824/53,544
  6. Step 6: Final answer
    x = 247,990.70

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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.