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Finding the Third Proportional to 71,478 and 161,171

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Solution

The third proportional to 71,478 and 161,171 is: 363,413.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,478 : 161,171 = 161,171 : x
  2. Step 2: Convert to fraction form
    71,478/161,171 = 161,171/x
  3. Step 3: Cross multiply
    71,478x = 161,171 × 161,171
  4. Step 4: Simplify right side
    71,478x = 25,976,091,241
  5. Step 5: Solve for x
    x = 25,976,091,241/71,478
  6. Step 6: Final answer
    x = 363,413.80

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.