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Finding the Third Proportional to 73,796 and 161,446

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Solution

The third proportional to 73,796 and 161,446 is: 353,200.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,796 : 161,446 = 161,446 : x
  2. Step 2: Convert to fraction form
    73,796/161,446 = 161,446/x
  3. Step 3: Cross multiply
    73,796x = 161,446 × 161,446
  4. Step 4: Simplify right side
    73,796x = 26,064,810,916
  5. Step 5: Solve for x
    x = 26,064,810,916/73,796
  6. Step 6: Final answer
    x = 353,200.86

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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.