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Finding the Third Proportional to 75,176 and 165,904

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Solution

The third proportional to 75,176 and 165,904 is: 366,129.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,176 : 165,904 = 165,904 : x
  2. Step 2: Convert to fraction form
    75,176/165,904 = 165,904/x
  3. Step 3: Cross multiply
    75,176x = 165,904 × 165,904
  4. Step 4: Simplify right side
    75,176x = 27,524,137,216
  5. Step 5: Solve for x
    x = 27,524,137,216/75,176
  6. Step 6: Final answer
    x = 366,129.31

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.