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Finding the Third Proportional to 52,936.51 and 115,409.37

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Solution

The third proportional to 52,936.51 and 115,409.37 is: 251,609.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,936.51 : 115,409.37 = 115,409.37 : x
  2. Step 2: Convert to fraction form
    52,936.51/115,409.37 = 115,409.37/x
  3. Step 3: Cross multiply
    52,936.51x = 115,409.37 × 115,409.37
  4. Step 4: Simplify right side
    52,936.51x = 13,319,322,119.15
  5. Step 5: Solve for x
    x = 13,319,322,119.15/52,936.51
  6. Step 6: Final answer
    x = 251,609.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.