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Finding the Third Proportional to 50,920.75 and 111,871.75

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Solution

The third proportional to 50,920.75 and 111,871.75 is: 245,779.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,920.75 : 111,871.75 = 111,871.75 : x
  2. Step 2: Convert to fraction form
    50,920.75/111,871.75 = 111,871.75/x
  3. Step 3: Cross multiply
    50,920.75x = 111,871.75 × 111,871.75
  4. Step 4: Simplify right side
    50,920.75x = 12,515,288,448.06
  5. Step 5: Solve for x
    x = 12,515,288,448.06/50,920.75
  6. Step 6: Final answer
    x = 245,779.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.