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Finding the Third Proportional to 79,744 and 115,904

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Solution

The third proportional to 79,744 and 115,904 is: 168,460.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,744 : 115,904 = 115,904 : x
  2. Step 2: Convert to fraction form
    79,744/115,904 = 115,904/x
  3. Step 3: Cross multiply
    79,744x = 115,904 × 115,904
  4. Step 4: Simplify right side
    79,744x = 13,433,737,216
  5. Step 5: Solve for x
    x = 13,433,737,216/79,744
  6. Step 6: Final answer
    x = 168,460.79

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.