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Finding the Third Proportional to 73,379 and 161,014

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Solution

The third proportional to 73,379 and 161,014 is: 353,309.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,379 : 161,014 = 161,014 : x
  2. Step 2: Convert to fraction form
    73,379/161,014 = 161,014/x
  3. Step 3: Cross multiply
    73,379x = 161,014 × 161,014
  4. Step 4: Simplify right side
    73,379x = 25,925,508,196
  5. Step 5: Solve for x
    x = 25,925,508,196/73,379
  6. Step 6: Final answer
    x = 353,309.64

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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.