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Finding the Third Proportional to 67,980 and 159,942

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Solution

The third proportional to 67,980 and 159,942 is: 376,308.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,980 : 159,942 = 159,942 : x
  2. Step 2: Convert to fraction form
    67,980/159,942 = 159,942/x
  3. Step 3: Cross multiply
    67,980x = 159,942 × 159,942
  4. Step 4: Simplify right side
    67,980x = 25,581,443,364
  5. Step 5: Solve for x
    x = 25,581,443,364/67,980
  6. Step 6: Final answer
    x = 376,308.38

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.