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Finding the Third Proportional to 81,231.75 and 178,155

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Solution

The third proportional to 81,231.75 and 178,155 is: 390,724.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,231.75 : 178,155 = 178,155 : x
  2. Step 2: Convert to fraction form
    81,231.75/178,155 = 178,155/x
  3. Step 3: Cross multiply
    81,231.75x = 178,155 × 178,155
  4. Step 4: Simplify right side
    81,231.75x = 31,739,204,025
  5. Step 5: Solve for x
    x = 31,739,204,025/81,231.75
  6. Step 6: Final answer
    x = 390,724.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.