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Finding the Third Proportional to 64,689 and 140,768

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Solution

The third proportional to 64,689 and 140,768 is: 306,321.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,689 : 140,768 = 140,768 : x
  2. Step 2: Convert to fraction form
    64,689/140,768 = 140,768/x
  3. Step 3: Cross multiply
    64,689x = 140,768 × 140,768
  4. Step 4: Simplify right side
    64,689x = 19,815,629,824
  5. Step 5: Solve for x
    x = 19,815,629,824/64,689
  6. Step 6: Final answer
    x = 306,321.47

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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.