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Finding the Third Proportional to 50,422.50 and 73,021.50

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Solution

The third proportional to 50,422.50 and 73,021.50 is: 105,749.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,422.50 : 73,021.50 = 73,021.50 : x
  2. Step 2: Convert to fraction form
    50,422.50/73,021.50 = 73,021.50/x
  3. Step 3: Cross multiply
    50,422.50x = 73,021.50 × 73,021.50
  4. Step 4: Simplify right side
    50,422.50x = 5,332,139,462.25
  5. Step 5: Solve for x
    x = 5,332,139,462.25/50,422.50
  6. Step 6: Final answer
    x = 105,749.21

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.