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Finding the Third Proportional to 75,408 and 165,719

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Solution

The third proportional to 75,408 and 165,719 is: 364,189.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,408 : 165,719 = 165,719 : x
  2. Step 2: Convert to fraction form
    75,408/165,719 = 165,719/x
  3. Step 3: Cross multiply
    75,408x = 165,719 × 165,719
  4. Step 4: Simplify right side
    75,408x = 27,462,786,961
  5. Step 5: Solve for x
    x = 27,462,786,961/75,408
  6. Step 6: Final answer
    x = 364,189.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.