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Finding the Third Proportional to 64,945 and 134,993

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Solution

The third proportional to 64,945 and 134,993 is: 280,592.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,945 : 134,993 = 134,993 : x
  2. Step 2: Convert to fraction form
    64,945/134,993 = 134,993/x
  3. Step 3: Cross multiply
    64,945x = 134,993 × 134,993
  4. Step 4: Simplify right side
    64,945x = 18,223,110,049
  5. Step 5: Solve for x
    x = 18,223,110,049/64,945
  6. Step 6: Final answer
    x = 280,592.96

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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.