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Finding the Third Proportional to 75,837 and 165,051

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Solution

The third proportional to 75,837 and 165,051 is: 359,215.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,837 : 165,051 = 165,051 : x
  2. Step 2: Convert to fraction form
    75,837/165,051 = 165,051/x
  3. Step 3: Cross multiply
    75,837x = 165,051 × 165,051
  4. Step 4: Simplify right side
    75,837x = 27,241,832,601
  5. Step 5: Solve for x
    x = 27,241,832,601/75,837
  6. Step 6: Final answer
    x = 359,215.59

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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.