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Finding the Third Proportional to 75,104 and 163,184

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Solution

The third proportional to 75,104 and 163,184 is: 354,561.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,104 : 163,184 = 163,184 : x
  2. Step 2: Convert to fraction form
    75,104/163,184 = 163,184/x
  3. Step 3: Cross multiply
    75,104x = 163,184 × 163,184
  4. Step 4: Simplify right side
    75,104x = 26,629,017,856
  5. Step 5: Solve for x
    x = 26,629,017,856/75,104
  6. Step 6: Final answer
    x = 354,561.91

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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.