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Finding the Third Proportional to 50,619.25 and 110,772.25

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Solution

The third proportional to 50,619.25 and 110,772.25 is: 242,407.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,619.25 : 110,772.25 = 110,772.25 : x
  2. Step 2: Convert to fraction form
    50,619.25/110,772.25 = 110,772.25/x
  3. Step 3: Cross multiply
    50,619.25x = 110,772.25 × 110,772.25
  4. Step 4: Simplify right side
    50,619.25x = 12,270,491,370.06
  5. Step 5: Solve for x
    x = 12,270,491,370.06/50,619.25
  6. Step 6: Final answer
    x = 242,407.61

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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.