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Finding the Third Proportional to 75,271 and 162,422

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Solution

The third proportional to 75,271 and 162,422 is: 350,479.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,271 : 162,422 = 162,422 : x
  2. Step 2: Convert to fraction form
    75,271/162,422 = 162,422/x
  3. Step 3: Cross multiply
    75,271x = 162,422 × 162,422
  4. Step 4: Simplify right side
    75,271x = 26,380,906,084
  5. Step 5: Solve for x
    x = 26,380,906,084/75,271
  6. Step 6: Final answer
    x = 350,479.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.