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Finding the Third Proportional to 81,120 and 178,224

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Solution

The third proportional to 81,120 and 178,224 is: 391,565.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,120 : 178,224 = 178,224 : x
  2. Step 2: Convert to fraction form
    81,120/178,224 = 178,224/x
  3. Step 3: Cross multiply
    81,120x = 178,224 × 178,224
  4. Step 4: Simplify right side
    81,120x = 31,763,794,176
  5. Step 5: Solve for x
    x = 31,763,794,176/81,120
  6. Step 6: Final answer
    x = 391,565.51

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.