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Finding the Third Proportional to 75,608.25 and 165,051

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Solution

The third proportional to 75,608.25 and 165,051 is: 360,302.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,608.25 : 165,051 = 165,051 : x
  2. Step 2: Convert to fraction form
    75,608.25/165,051 = 165,051/x
  3. Step 3: Cross multiply
    75,608.25x = 165,051 × 165,051
  4. Step 4: Simplify right side
    75,608.25x = 27,241,832,601
  5. Step 5: Solve for x
    x = 27,241,832,601/75,608.25
  6. Step 6: Final answer
    x = 360,302.38

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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.