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Finding the Third Proportional to 49,321.50 and 73,221

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Solution

The third proportional to 49,321.50 and 73,221 is: 108,701.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,321.50 : 73,221 = 73,221 : x
  2. Step 2: Convert to fraction form
    49,321.50/73,221 = 73,221/x
  3. Step 3: Cross multiply
    49,321.50x = 73,221 × 73,221
  4. Step 4: Simplify right side
    49,321.50x = 5,361,314,841
  5. Step 5: Solve for x
    x = 5,361,314,841/49,321.50
  6. Step 6: Final answer
    x = 108,701.37

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.