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Finding the Third Proportional to 71,475 and 166,188

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Solution

The third proportional to 71,475 and 166,188 is: 386,407.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,475 : 166,188 = 166,188 : x
  2. Step 2: Convert to fraction form
    71,475/166,188 = 166,188/x
  3. Step 3: Cross multiply
    71,475x = 166,188 × 166,188
  4. Step 4: Simplify right side
    71,475x = 27,618,451,344
  5. Step 5: Solve for x
    x = 27,618,451,344/71,475
  6. Step 6: Final answer
    x = 386,407.15

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.