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Finding the Third Proportional to 64,137.75 and 137,616

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Solution

The third proportional to 64,137.75 and 137,616 is: 295,273.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,137.75 : 137,616 = 137,616 : x
  2. Step 2: Convert to fraction form
    64,137.75/137,616 = 137,616/x
  3. Step 3: Cross multiply
    64,137.75x = 137,616 × 137,616
  4. Step 4: Simplify right side
    64,137.75x = 18,938,163,456
  5. Step 5: Solve for x
    x = 18,938,163,456/64,137.75
  6. Step 6: Final answer
    x = 295,273.27

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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.