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Finding the Third Proportional to 76,679 and 165,022

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Solution

The third proportional to 76,679 and 165,022 is: 355,146.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,679 : 165,022 = 165,022 : x
  2. Step 2: Convert to fraction form
    76,679/165,022 = 165,022/x
  3. Step 3: Cross multiply
    76,679x = 165,022 × 165,022
  4. Step 4: Simplify right side
    76,679x = 27,232,260,484
  5. Step 5: Solve for x
    x = 27,232,260,484/76,679
  6. Step 6: Final answer
    x = 355,146.27

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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.