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Finding the Third Proportional to 48,124.13 and 115,936.31

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Solution

The third proportional to 48,124.13 and 115,936.31 is: 279,303.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,124.13 : 115,936.31 = 115,936.31 : x
  2. Step 2: Convert to fraction form
    48,124.13/115,936.31 = 115,936.31/x
  3. Step 3: Cross multiply
    48,124.13x = 115,936.31 × 115,936.31
  4. Step 4: Simplify right side
    48,124.13x = 13,441,228,556.10
  5. Step 5: Solve for x
    x = 13,441,228,556.10/48,124.13
  6. Step 6: Final answer
    x = 279,303.33

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.