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Finding the Third Proportional to 75,517 and 119,971

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Solution

The third proportional to 75,517 and 119,971 is: 190,593.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,517 : 119,971 = 119,971 : x
  2. Step 2: Convert to fraction form
    75,517/119,971 = 119,971/x
  3. Step 3: Cross multiply
    75,517x = 119,971 × 119,971
  4. Step 4: Simplify right side
    75,517x = 14,393,040,841
  5. Step 5: Solve for x
    x = 14,393,040,841/75,517
  6. Step 6: Final answer
    x = 190,593.39

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.