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Finding the Third Proportional to 84,138.75 and 178,665.75

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Solution

The third proportional to 84,138.75 and 178,665.75 is: 379,390.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,138.75 : 178,665.75 = 178,665.75 : x
  2. Step 2: Convert to fraction form
    84,138.75/178,665.75 = 178,665.75/x
  3. Step 3: Cross multiply
    84,138.75x = 178,665.75 × 178,665.75
  4. Step 4: Simplify right side
    84,138.75x = 31,921,450,223.06
  5. Step 5: Solve for x
    x = 31,921,450,223.06/84,138.75
  6. Step 6: Final answer
    x = 379,390.59

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.