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Finding the Third Proportional to 75,486 and 159,962

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Solution

The third proportional to 75,486 and 159,962 is: 338,974.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,486 : 159,962 = 159,962 : x
  2. Step 2: Convert to fraction form
    75,486/159,962 = 159,962/x
  3. Step 3: Cross multiply
    75,486x = 159,962 × 159,962
  4. Step 4: Simplify right side
    75,486x = 25,587,841,444
  5. Step 5: Solve for x
    x = 25,587,841,444/75,486
  6. Step 6: Final answer
    x = 338,974.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.