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Finding the Third Proportional to 75,722 and 159,293

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Solution

The third proportional to 75,722 and 159,293 is: 335,097.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,722 : 159,293 = 159,293 : x
  2. Step 2: Convert to fraction form
    75,722/159,293 = 159,293/x
  3. Step 3: Cross multiply
    75,722x = 159,293 × 159,293
  4. Step 4: Simplify right side
    75,722x = 25,374,259,849
  5. Step 5: Solve for x
    x = 25,374,259,849/75,722
  6. Step 6: Final answer
    x = 335,097.59

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.