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Finding the Third Proportional to 104,546 and 139,107

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Solution

The third proportional to 104,546 and 139,107 is: 185,093.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,546 : 139,107 = 139,107 : x
  2. Step 2: Convert to fraction form
    104,546/139,107 = 139,107/x
  3. Step 3: Cross multiply
    104,546x = 139,107 × 139,107
  4. Step 4: Simplify right side
    104,546x = 19,350,757,449
  5. Step 5: Solve for x
    x = 19,350,757,449/104,546
  6. Step 6: Final answer
    x = 185,093.24

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.