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Finding the Third Proportional to 107,634 and 165,993

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Solution

The third proportional to 107,634 and 165,993 is: 255,994.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,634 : 165,993 = 165,993 : x
  2. Step 2: Convert to fraction form
    107,634/165,993 = 165,993/x
  3. Step 3: Cross multiply
    107,634x = 165,993 × 165,993
  4. Step 4: Simplify right side
    107,634x = 27,553,676,049
  5. Step 5: Solve for x
    x = 27,553,676,049/107,634
  6. Step 6: Final answer
    x = 255,994.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.