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Finding the Third Proportional to 53,728 and 115,383.38

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Solution

The third proportional to 53,728 and 115,383.38 is: 247,791.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,728 : 115,383.38 = 115,383.38 : x
  2. Step 2: Convert to fraction form
    53,728/115,383.38 = 115,383.38/x
  3. Step 3: Cross multiply
    53,728x = 115,383.38 × 115,383.38
  4. Step 4: Simplify right side
    53,728x = 13,313,323,226.39
  5. Step 5: Solve for x
    x = 13,313,323,226.39/53,728
  6. Step 6: Final answer
    x = 247,791.16

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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.