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Finding the Third Proportional to 77,033 and 165,568

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Solution

The third proportional to 77,033 and 165,568 is: 355,857.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,033 : 165,568 = 165,568 : x
  2. Step 2: Convert to fraction form
    77,033/165,568 = 165,568/x
  3. Step 3: Cross multiply
    77,033x = 165,568 × 165,568
  4. Step 4: Simplify right side
    77,033x = 27,412,762,624
  5. Step 5: Solve for x
    x = 27,412,762,624/77,033
  6. Step 6: Final answer
    x = 355,857.39

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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.