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Finding the Third Proportional to 126,069.75 and 263,823.75

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Solution

The third proportional to 126,069.75 and 263,823.75 is: 552,098.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,069.75 : 263,823.75 = 263,823.75 : x
  2. Step 2: Convert to fraction form
    126,069.75/263,823.75 = 263,823.75/x
  3. Step 3: Cross multiply
    126,069.75x = 263,823.75 × 263,823.75
  4. Step 4: Simplify right side
    126,069.75x = 69,602,971,064.06
  5. Step 5: Solve for x
    x = 69,602,971,064.06/126,069.75
  6. Step 6: Final answer
    x = 552,098.91

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.