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Finding the Third Proportional to 29,439 and 60,174

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Solution

The third proportional to 29,439 and 60,174 is: 122,997.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,439 : 60,174 = 60,174 : x
  2. Step 2: Convert to fraction form
    29,439/60,174 = 60,174/x
  3. Step 3: Cross multiply
    29,439x = 60,174 × 60,174
  4. Step 4: Simplify right side
    29,439x = 3,620,910,276
  5. Step 5: Solve for x
    x = 3,620,910,276/29,439
  6. Step 6: Final answer
    x = 122,997.05

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.