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Finding the Third Proportional to 126,965.63 and 168,544.13

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Solution

The third proportional to 126,965.63 and 168,544.13 is: 223,738.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,965.63 : 168,544.13 = 168,544.13 : x
  2. Step 2: Convert to fraction form
    126,965.63/168,544.13 = 168,544.13/x
  3. Step 3: Cross multiply
    126,965.63x = 168,544.13 × 168,544.13
  4. Step 4: Simplify right side
    126,965.63x = 28,407,122,072.02
  5. Step 5: Solve for x
    x = 28,407,122,072.02/126,965.63
  6. Step 6: Final answer
    x = 223,738.69

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Why These Related Problems?

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