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Finding the Third Proportional to 55,746 and 108,694

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Solution

The third proportional to 55,746 and 108,694 is: 211,932.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,746 : 108,694 = 108,694 : x
  2. Step 2: Convert to fraction form
    55,746/108,694 = 108,694/x
  3. Step 3: Cross multiply
    55,746x = 108,694 × 108,694
  4. Step 4: Simplify right side
    55,746x = 11,814,385,636
  5. Step 5: Solve for x
    x = 11,814,385,636/55,746
  6. Step 6: Final answer
    x = 211,932.44

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.