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Finding the Third Proportional to 64,410.75 and 137,667

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Solution

The third proportional to 64,410.75 and 137,667 is: 294,239.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,410.75 : 137,667 = 137,667 : x
  2. Step 2: Convert to fraction form
    64,410.75/137,667 = 137,667/x
  3. Step 3: Cross multiply
    64,410.75x = 137,667 × 137,667
  4. Step 4: Simplify right side
    64,410.75x = 18,952,202,889
  5. Step 5: Solve for x
    x = 18,952,202,889/64,410.75
  6. Step 6: Final answer
    x = 294,239.75

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.