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Finding the Third Proportional to 107,579 and 165,905

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Solution

The third proportional to 107,579 and 165,905 is: 255,853.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,579 : 165,905 = 165,905 : x
  2. Step 2: Convert to fraction form
    107,579/165,905 = 165,905/x
  3. Step 3: Cross multiply
    107,579x = 165,905 × 165,905
  4. Step 4: Simplify right side
    107,579x = 27,524,469,025
  5. Step 5: Solve for x
    x = 27,524,469,025/107,579
  6. Step 6: Final answer
    x = 255,853.55

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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.