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Finding the Third Proportional to 73,523 and 161,049

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Solution

The third proportional to 73,523 and 161,049 is: 352,770.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,523 : 161,049 = 161,049 : x
  2. Step 2: Convert to fraction form
    73,523/161,049 = 161,049/x
  3. Step 3: Cross multiply
    73,523x = 161,049 × 161,049
  4. Step 4: Simplify right side
    73,523x = 25,936,780,401
  5. Step 5: Solve for x
    x = 25,936,780,401/73,523
  6. Step 6: Final answer
    x = 352,770.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.