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Finding the Third Proportional to 114,733.97 and 178,096.22

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Solution

The third proportional to 114,733.97 and 178,096.22 is: 276,450.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,733.97 : 178,096.22 = 178,096.22 : x
  2. Step 2: Convert to fraction form
    114,733.97/178,096.22 = 178,096.22/x
  3. Step 3: Cross multiply
    114,733.97x = 178,096.22 × 178,096.22
  4. Step 4: Simplify right side
    114,733.97x = 31,718,263,133.05
  5. Step 5: Solve for x
    x = 31,718,263,133.05/114,733.97
  6. Step 6: Final answer
    x = 276,450.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.