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Finding the Third Proportional to 38,020.50 and 88,112.25

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Solution

The third proportional to 38,020.50 and 88,112.25 is: 204,199.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,020.50 : 88,112.25 = 88,112.25 : x
  2. Step 2: Convert to fraction form
    38,020.50/88,112.25 = 88,112.25/x
  3. Step 3: Cross multiply
    38,020.50x = 88,112.25 × 88,112.25
  4. Step 4: Simplify right side
    38,020.50x = 7,763,768,600.06
  5. Step 5: Solve for x
    x = 7,763,768,600.06/38,020.50
  6. Step 6: Final answer
    x = 204,199.54

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.