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Finding the Third Proportional to 42,241 and 98,221

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Solution

The third proportional to 42,241 and 98,221 is: 228,388.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,241 : 98,221 = 98,221 : x
  2. Step 2: Convert to fraction form
    42,241/98,221 = 98,221/x
  3. Step 3: Cross multiply
    42,241x = 98,221 × 98,221
  4. Step 4: Simplify right side
    42,241x = 9,647,364,841
  5. Step 5: Solve for x
    x = 9,647,364,841/42,241
  6. Step 6: Final answer
    x = 228,388.65

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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.