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Finding the Third Proportional to 104,885 and 157,338

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Solution

The third proportional to 104,885 and 157,338 is: 236,022.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,885 : 157,338 = 157,338 : x
  2. Step 2: Convert to fraction form
    104,885/157,338 = 157,338/x
  3. Step 3: Cross multiply
    104,885x = 157,338 × 157,338
  4. Step 4: Simplify right side
    104,885x = 24,755,246,244
  5. Step 5: Solve for x
    x = 24,755,246,244/104,885
  6. Step 6: Final answer
    x = 236,022.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.