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Finding the Third Proportional to 76,678 and 165,668

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Solution

The third proportional to 76,678 and 165,668 is: 357,936.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,678 : 165,668 = 165,668 : x
  2. Step 2: Convert to fraction form
    76,678/165,668 = 165,668/x
  3. Step 3: Cross multiply
    76,678x = 165,668 × 165,668
  4. Step 4: Simplify right side
    76,678x = 27,445,886,224
  5. Step 5: Solve for x
    x = 27,445,886,224/76,678
  6. Step 6: Final answer
    x = 357,936.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.