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Finding the Third Proportional to 64,977.82 and 140,002.17

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Solution

The third proportional to 64,977.82 and 140,002.17 is: 301,650.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,977.82 : 140,002.17 = 140,002.17 : x
  2. Step 2: Convert to fraction form
    64,977.82/140,002.17 = 140,002.17/x
  3. Step 3: Cross multiply
    64,977.82x = 140,002.17 × 140,002.17
  4. Step 4: Simplify right side
    64,977.82x = 19,600,608,129.72
  5. Step 5: Solve for x
    x = 19,600,608,129.72/64,977.82
  6. Step 6: Final answer
    x = 301,650.75

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.