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Finding the Third Proportional to 71,367.75 and 106,224.75

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Solution

The third proportional to 71,367.75 and 106,224.75 is: 158,106.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,367.75 : 106,224.75 = 106,224.75 : x
  2. Step 2: Convert to fraction form
    71,367.75/106,224.75 = 106,224.75/x
  3. Step 3: Cross multiply
    71,367.75x = 106,224.75 × 106,224.75
  4. Step 4: Simplify right side
    71,367.75x = 11,283,697,512.56
  5. Step 5: Solve for x
    x = 11,283,697,512.56/71,367.75
  6. Step 6: Final answer
    x = 158,106.39

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.