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Finding the Third Proportional to 64,804 and 131,912

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Solution

The third proportional to 64,804 and 131,912 is: 268,513.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,804 : 131,912 = 131,912 : x
  2. Step 2: Convert to fraction form
    64,804/131,912 = 131,912/x
  3. Step 3: Cross multiply
    64,804x = 131,912 × 131,912
  4. Step 4: Simplify right side
    64,804x = 17,400,775,744
  5. Step 5: Solve for x
    x = 17,400,775,744/64,804
  6. Step 6: Final answer
    x = 268,513.91

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.