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Finding the Third Proportional to 122,350 and 161,241

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Solution

The third proportional to 122,350 and 161,241 is: 212,494.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,350 : 161,241 = 161,241 : x
  2. Step 2: Convert to fraction form
    122,350/161,241 = 161,241/x
  3. Step 3: Cross multiply
    122,350x = 161,241 × 161,241
  4. Step 4: Simplify right side
    122,350x = 25,998,660,081
  5. Step 5: Solve for x
    x = 25,998,660,081/122,350
  6. Step 6: Final answer
    x = 212,494.16

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.