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Finding the Third Proportional to 45,831 and 73,021.50

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Solution

The third proportional to 45,831 and 73,021.50 is: 116,343.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,831 : 73,021.50 = 73,021.50 : x
  2. Step 2: Convert to fraction form
    45,831/73,021.50 = 73,021.50/x
  3. Step 3: Cross multiply
    45,831x = 73,021.50 × 73,021.50
  4. Step 4: Simplify right side
    45,831x = 5,332,139,462.25
  5. Step 5: Solve for x
    x = 5,332,139,462.25/45,831
  6. Step 6: Final answer
    x = 116,343.51

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.