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Finding the Third Proportional to 73,069 and 159,377

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Solution

The third proportional to 73,069 and 159,377 is: 347,630.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,069 : 159,377 = 159,377 : x
  2. Step 2: Convert to fraction form
    73,069/159,377 = 159,377/x
  3. Step 3: Cross multiply
    73,069x = 159,377 × 159,377
  4. Step 4: Simplify right side
    73,069x = 25,401,028,129
  5. Step 5: Solve for x
    x = 25,401,028,129/73,069
  6. Step 6: Final answer
    x = 347,630.71

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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.