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Finding the Third Proportional to 64,958.63 and 135,020.25

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Solution

The third proportional to 64,958.63 and 135,020.25 is: 280,647.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,958.63 : 135,020.25 = 135,020.25 : x
  2. Step 2: Convert to fraction form
    64,958.63/135,020.25 = 135,020.25/x
  3. Step 3: Cross multiply
    64,958.63x = 135,020.25 × 135,020.25
  4. Step 4: Simplify right side
    64,958.63x = 18,230,467,910.06
  5. Step 5: Solve for x
    x = 18,230,467,910.06/64,958.63
  6. Step 6: Final answer
    x = 280,647.38

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.