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Finding the Third Proportional to 92,729 and 200,241

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Solution

The third proportional to 92,729 and 200,241 is: 432,404.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,729 : 200,241 = 200,241 : x
  2. Step 2: Convert to fraction form
    92,729/200,241 = 200,241/x
  3. Step 3: Cross multiply
    92,729x = 200,241 × 200,241
  4. Step 4: Simplify right side
    92,729x = 40,096,458,081
  5. Step 5: Solve for x
    x = 40,096,458,081/92,729
  6. Step 6: Final answer
    x = 432,404.73

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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.