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Finding the Third Proportional to 51,918.75 and 113,448.38

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Solution

The third proportional to 51,918.75 and 113,448.38 is: 247,897.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,918.75 : 113,448.38 = 113,448.38 : x
  2. Step 2: Convert to fraction form
    51,918.75/113,448.38 = 113,448.38/x
  3. Step 3: Cross multiply
    51,918.75x = 113,448.38 × 113,448.38
  4. Step 4: Simplify right side
    51,918.75x = 12,870,533,790.14
  5. Step 5: Solve for x
    x = 12,870,533,790.14/51,918.75
  6. Step 6: Final answer
    x = 247,897.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.