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Finding the Third Proportional to 43,993 and 95,924

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Solution

The third proportional to 43,993 and 95,924 is: 209,156.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,993 : 95,924 = 95,924 : x
  2. Step 2: Convert to fraction form
    43,993/95,924 = 95,924/x
  3. Step 3: Cross multiply
    43,993x = 95,924 × 95,924
  4. Step 4: Simplify right side
    43,993x = 9,201,413,776
  5. Step 5: Solve for x
    x = 9,201,413,776/43,993
  6. Step 6: Final answer
    x = 209,156.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.