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Finding the Third Proportional to 64,114.88 and 140,028.75

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Solution

The third proportional to 64,114.88 and 140,028.75 is: 305,826.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,114.88 : 140,028.75 = 140,028.75 : x
  2. Step 2: Convert to fraction form
    64,114.88/140,028.75 = 140,028.75/x
  3. Step 3: Cross multiply
    64,114.88x = 140,028.75 × 140,028.75
  4. Step 4: Simplify right side
    64,114.88x = 19,608,050,826.56
  5. Step 5: Solve for x
    x = 19,608,050,826.56/64,114.88
  6. Step 6: Final answer
    x = 305,826.86

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.