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Finding the Third Proportional to 64,281 and 131,694

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Solution

The third proportional to 64,281 and 131,694 is: 269,804.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,281 : 131,694 = 131,694 : x
  2. Step 2: Convert to fraction form
    64,281/131,694 = 131,694/x
  3. Step 3: Cross multiply
    64,281x = 131,694 × 131,694
  4. Step 4: Simplify right side
    64,281x = 17,343,309,636
  5. Step 5: Solve for x
    x = 17,343,309,636/64,281
  6. Step 6: Final answer
    x = 269,804.60

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.