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Finding the Third Proportional to 81,551.25 and 165,404.25

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Solution

The third proportional to 81,551.25 and 165,404.25 is: 335,476.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,551.25 : 165,404.25 = 165,404.25 : x
  2. Step 2: Convert to fraction form
    81,551.25/165,404.25 = 165,404.25/x
  3. Step 3: Cross multiply
    81,551.25x = 165,404.25 × 165,404.25
  4. Step 4: Simplify right side
    81,551.25x = 27,358,565,918.06
  5. Step 5: Solve for x
    x = 27,358,565,918.06/81,551.25
  6. Step 6: Final answer
    x = 335,476.97

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.