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Finding the Third Proportional to 74,609 and 105,469

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Solution

The third proportional to 74,609 and 105,469 is: 149,093.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,609 : 105,469 = 105,469 : x
  2. Step 2: Convert to fraction form
    74,609/105,469 = 105,469/x
  3. Step 3: Cross multiply
    74,609x = 105,469 × 105,469
  4. Step 4: Simplify right side
    74,609x = 11,123,709,961
  5. Step 5: Solve for x
    x = 11,123,709,961/74,609
  6. Step 6: Final answer
    x = 149,093.41

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.