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Finding the Third Proportional to 51,165 and 73,453.50

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Solution

The third proportional to 51,165 and 73,453.50 is: 105,451.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,165 : 73,453.50 = 73,453.50 : x
  2. Step 2: Convert to fraction form
    51,165/73,453.50 = 73,453.50/x
  3. Step 3: Cross multiply
    51,165x = 73,453.50 × 73,453.50
  4. Step 4: Simplify right side
    51,165x = 5,395,416,662.25
  5. Step 5: Solve for x
    x = 5,395,416,662.25/51,165
  6. Step 6: Final answer
    x = 105,451.32

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.