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Finding the Third Proportional to 53,384 and 110,512

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Solution

The third proportional to 53,384 and 110,512 is: 228,774.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,384 : 110,512 = 110,512 : x
  2. Step 2: Convert to fraction form
    53,384/110,512 = 110,512/x
  3. Step 3: Cross multiply
    53,384x = 110,512 × 110,512
  4. Step 4: Simplify right side
    53,384x = 12,212,902,144
  5. Step 5: Solve for x
    x = 12,212,902,144/53,384
  6. Step 6: Final answer
    x = 228,774.58

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.