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Finding the Third Proportional to 126,914.75 and 168,468

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Solution

The third proportional to 126,914.75 and 168,468 is: 223,626.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,914.75 : 168,468 = 168,468 : x
  2. Step 2: Convert to fraction form
    126,914.75/168,468 = 168,468/x
  3. Step 3: Cross multiply
    126,914.75x = 168,468 × 168,468
  4. Step 4: Simplify right side
    126,914.75x = 28,381,467,024
  5. Step 5: Solve for x
    x = 28,381,467,024/126,914.75
  6. Step 6: Final answer
    x = 223,626.23

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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.