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Finding the Third Proportional to 64,128 and 95,832.75

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Solution

The third proportional to 64,128 and 95,832.75 is: 143,212.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,128 : 95,832.75 = 95,832.75 : x
  2. Step 2: Convert to fraction form
    64,128/95,832.75 = 95,832.75/x
  3. Step 3: Cross multiply
    64,128x = 95,832.75 × 95,832.75
  4. Step 4: Simplify right side
    64,128x = 9,183,915,972.56
  5. Step 5: Solve for x
    x = 9,183,915,972.56/64,128
  6. Step 6: Final answer
    x = 143,212.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.