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Finding the Third Proportional to 118,047.38 and 178,059.38

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Solution

The third proportional to 118,047.38 and 178,059.38 is: 268,579.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,047.38 : 178,059.38 = 178,059.38 : x
  2. Step 2: Convert to fraction form
    118,047.38/178,059.38 = 178,059.38/x
  3. Step 3: Cross multiply
    118,047.38x = 178,059.38 × 178,059.38
  4. Step 4: Simplify right side
    118,047.38x = 31,705,141,025.39
  5. Step 5: Solve for x
    x = 31,705,141,025.39/118,047.38
  6. Step 6: Final answer
    x = 268,579.81

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.