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Finding the Third Proportional to 43,926 and 96,317

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Solution

The third proportional to 43,926 and 96,317 is: 211,195.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,926 : 96,317 = 96,317 : x
  2. Step 2: Convert to fraction form
    43,926/96,317 = 96,317/x
  3. Step 3: Cross multiply
    43,926x = 96,317 × 96,317
  4. Step 4: Simplify right side
    43,926x = 9,276,964,489
  5. Step 5: Solve for x
    x = 9,276,964,489/43,926
  6. Step 6: Final answer
    x = 211,195.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.