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Finding the Third Proportional to 66,904 and 91,744

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Solution

The third proportional to 66,904 and 91,744 is: 125,806.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,904 : 91,744 = 91,744 : x
  2. Step 2: Convert to fraction form
    66,904/91,744 = 91,744/x
  3. Step 3: Cross multiply
    66,904x = 91,744 × 91,744
  4. Step 4: Simplify right side
    66,904x = 8,416,961,536
  5. Step 5: Solve for x
    x = 8,416,961,536/66,904
  6. Step 6: Final answer
    x = 125,806.55

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.