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Finding the Third Proportional to 53,859.38 and 115,716.38

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Solution

The third proportional to 53,859.38 and 115,716.38 is: 248,615.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,859.38 : 115,716.38 = 115,716.38 : x
  2. Step 2: Convert to fraction form
    53,859.38/115,716.38 = 115,716.38/x
  3. Step 3: Cross multiply
    53,859.38x = 115,716.38 × 115,716.38
  4. Step 4: Simplify right side
    53,859.38x = 13,390,279,443.14
  5. Step 5: Solve for x
    x = 13,390,279,443.14/53,859.38
  6. Step 6: Final answer
    x = 248,615.57

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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.