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Finding the Third Proportional to 43,786 and 96,320

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Solution

The third proportional to 43,786 and 96,320 is: 211,883.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,786 : 96,320 = 96,320 : x
  2. Step 2: Convert to fraction form
    43,786/96,320 = 96,320/x
  3. Step 3: Cross multiply
    43,786x = 96,320 × 96,320
  4. Step 4: Simplify right side
    43,786x = 9,277,542,400
  5. Step 5: Solve for x
    x = 9,277,542,400/43,786
  6. Step 6: Final answer
    x = 211,883.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.