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Finding the Third Proportional to 35,353 and 76,241

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Solution

The third proportional to 35,353 and 76,241 is: 164,418.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,353 : 76,241 = 76,241 : x
  2. Step 2: Convert to fraction form
    35,353/76,241 = 76,241/x
  3. Step 3: Cross multiply
    35,353x = 76,241 × 76,241
  4. Step 4: Simplify right side
    35,353x = 5,812,690,081
  5. Step 5: Solve for x
    x = 5,812,690,081/35,353
  6. Step 6: Final answer
    x = 164,418.58

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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.