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Finding the Third Proportional to 43,176 and 96,393

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Solution

The third proportional to 43,176 and 96,393 is: 215,203.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,176 : 96,393 = 96,393 : x
  2. Step 2: Convert to fraction form
    43,176/96,393 = 96,393/x
  3. Step 3: Cross multiply
    43,176x = 96,393 × 96,393
  4. Step 4: Simplify right side
    43,176x = 9,291,610,449
  5. Step 5: Solve for x
    x = 9,291,610,449/43,176
  6. Step 6: Final answer
    x = 215,203.13

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.