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Finding the Third Proportional to 77,964 and 165,198

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Solution

The third proportional to 77,964 and 165,198 is: 350,038.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,964 : 165,198 = 165,198 : x
  2. Step 2: Convert to fraction form
    77,964/165,198 = 165,198/x
  3. Step 3: Cross multiply
    77,964x = 165,198 × 165,198
  4. Step 4: Simplify right side
    77,964x = 27,290,379,204
  5. Step 5: Solve for x
    x = 27,290,379,204/77,964
  6. Step 6: Final answer
    x = 350,038.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.