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Finding the Third Proportional to 53,814.50 and 73,872.75

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Solution

The third proportional to 53,814.50 and 73,872.75 is: 101,407.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,814.50 : 73,872.75 = 73,872.75 : x
  2. Step 2: Convert to fraction form
    53,814.50/73,872.75 = 73,872.75/x
  3. Step 3: Cross multiply
    53,814.50x = 73,872.75 × 73,872.75
  4. Step 4: Simplify right side
    53,814.50x = 5,457,183,192.56
  5. Step 5: Solve for x
    x = 5,457,183,192.56/53,814.50
  6. Step 6: Final answer
    x = 101,407.30

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.