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Finding the Third Proportional to 77,041 and 165,579

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Solution

The third proportional to 77,041 and 165,579 is: 355,867.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,041 : 165,579 = 165,579 : x
  2. Step 2: Convert to fraction form
    77,041/165,579 = 165,579/x
  3. Step 3: Cross multiply
    77,041x = 165,579 × 165,579
  4. Step 4: Simplify right side
    77,041x = 27,416,405,241
  5. Step 5: Solve for x
    x = 27,416,405,241/77,041
  6. Step 6: Final answer
    x = 355,867.72

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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.