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Finding the Third Proportional to 75,589 and 162,841

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Solution

The third proportional to 75,589 and 162,841 is: 350,807.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,589 : 162,841 = 162,841 : x
  2. Step 2: Convert to fraction form
    75,589/162,841 = 162,841/x
  3. Step 3: Cross multiply
    75,589x = 162,841 × 162,841
  4. Step 4: Simplify right side
    75,589x = 26,517,191,281
  5. Step 5: Solve for x
    x = 26,517,191,281/75,589
  6. Step 6: Final answer
    x = 350,807.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.