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Finding the Third Proportional to 75,231 and 163,422

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Solution

The third proportional to 75,231 and 163,422 is: 354,996.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,231 : 163,422 = 163,422 : x
  2. Step 2: Convert to fraction form
    75,231/163,422 = 163,422/x
  3. Step 3: Cross multiply
    75,231x = 163,422 × 163,422
  4. Step 4: Simplify right side
    75,231x = 26,706,750,084
  5. Step 5: Solve for x
    x = 26,706,750,084/75,231
  6. Step 6: Final answer
    x = 354,996.61

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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.