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Finding the Third Proportional to 75,998 and 165,116

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Solution

The third proportional to 75,998 and 165,116 is: 358,736.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,998 : 165,116 = 165,116 : x
  2. Step 2: Convert to fraction form
    75,998/165,116 = 165,116/x
  3. Step 3: Cross multiply
    75,998x = 165,116 × 165,116
  4. Step 4: Simplify right side
    75,998x = 27,263,293,456
  5. Step 5: Solve for x
    x = 27,263,293,456/75,998
  6. Step 6: Final answer
    x = 358,736.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.