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Finding the Third Proportional to 50,229 and 73,831.50

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Solution

The third proportional to 50,229 and 73,831.50 is: 108,524.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,229 : 73,831.50 = 73,831.50 : x
  2. Step 2: Convert to fraction form
    50,229/73,831.50 = 73,831.50/x
  3. Step 3: Cross multiply
    50,229x = 73,831.50 × 73,831.50
  4. Step 4: Simplify right side
    50,229x = 5,451,090,392.25
  5. Step 5: Solve for x
    x = 5,451,090,392.25/50,229
  6. Step 6: Final answer
    x = 108,524.76

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.