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Finding the Third Proportional to 73,834 and 161,201

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Solution

The third proportional to 73,834 and 161,201 is: 351,948.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,834 : 161,201 = 161,201 : x
  2. Step 2: Convert to fraction form
    73,834/161,201 = 161,201/x
  3. Step 3: Cross multiply
    73,834x = 161,201 × 161,201
  4. Step 4: Simplify right side
    73,834x = 25,985,762,401
  5. Step 5: Solve for x
    x = 25,985,762,401/73,834
  6. Step 6: Final answer
    x = 351,948.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.