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Finding the Third Proportional to 126,914.63 and 168,467.63

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Solution

The third proportional to 126,914.63 and 168,467.63 is: 223,625.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,914.63 : 168,467.63 = 168,467.63 : x
  2. Step 2: Convert to fraction form
    126,914.63/168,467.63 = 168,467.63/x
  3. Step 3: Cross multiply
    126,914.63x = 168,467.63 × 168,467.63
  4. Step 4: Simplify right side
    126,914.63x = 28,381,340,673.14
  5. Step 5: Solve for x
    x = 28,381,340,673.14/126,914.63
  6. Step 6: Final answer
    x = 223,625.45

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.