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Finding the Third Proportional to 61,891 and 92,974

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Solution

The third proportional to 61,891 and 92,974 is: 139,667.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,891 : 92,974 = 92,974 : x
  2. Step 2: Convert to fraction form
    61,891/92,974 = 92,974/x
  3. Step 3: Cross multiply
    61,891x = 92,974 × 92,974
  4. Step 4: Simplify right side
    61,891x = 8,644,164,676
  5. Step 5: Solve for x
    x = 8,644,164,676/61,891
  6. Step 6: Final answer
    x = 139,667.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.