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Finding the Third Proportional to 73,517 and 161,041

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Solution

The third proportional to 73,517 and 161,041 is: 352,764.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,517 : 161,041 = 161,041 : x
  2. Step 2: Convert to fraction form
    73,517/161,041 = 161,041/x
  3. Step 3: Cross multiply
    73,517x = 161,041 × 161,041
  4. Step 4: Simplify right side
    73,517x = 25,934,203,681
  5. Step 5: Solve for x
    x = 25,934,203,681/73,517
  6. Step 6: Final answer
    x = 352,764.72

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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.