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Finding the Third Proportional to 50,843.50 and 118,772.50

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Solution

The third proportional to 50,843.50 and 118,772.50 is: 277,457.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,843.50 : 118,772.50 = 118,772.50 : x
  2. Step 2: Convert to fraction form
    50,843.50/118,772.50 = 118,772.50/x
  3. Step 3: Cross multiply
    50,843.50x = 118,772.50 × 118,772.50
  4. Step 4: Simplify right side
    50,843.50x = 14,106,906,756.25
  5. Step 5: Solve for x
    x = 14,106,906,756.25/50,843.50
  6. Step 6: Final answer
    x = 277,457.43

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.