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Finding the Third Proportional to 76,474 and 164,668

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Solution

The third proportional to 76,474 and 164,668 is: 354,572.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,474 : 164,668 = 164,668 : x
  2. Step 2: Convert to fraction form
    76,474/164,668 = 164,668/x
  3. Step 3: Cross multiply
    76,474x = 164,668 × 164,668
  4. Step 4: Simplify right side
    76,474x = 27,115,550,224
  5. Step 5: Solve for x
    x = 27,115,550,224/76,474
  6. Step 6: Final answer
    x = 354,572.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.