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Finding the Third Proportional to 75,493 and 162,577

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Solution

The third proportional to 75,493 and 162,577 is: 350,115.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,493 : 162,577 = 162,577 : x
  2. Step 2: Convert to fraction form
    75,493/162,577 = 162,577/x
  3. Step 3: Cross multiply
    75,493x = 162,577 × 162,577
  4. Step 4: Simplify right side
    75,493x = 26,431,280,929
  5. Step 5: Solve for x
    x = 26,431,280,929/75,493
  6. Step 6: Final answer
    x = 350,115.65

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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.