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Finding the Third Proportional to 39,977 and 92,558

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Solution

The third proportional to 39,977 and 92,558 is: 214,297.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,977 : 92,558 = 92,558 : x
  2. Step 2: Convert to fraction form
    39,977/92,558 = 92,558/x
  3. Step 3: Cross multiply
    39,977x = 92,558 × 92,558
  4. Step 4: Simplify right side
    39,977x = 8,566,983,364
  5. Step 5: Solve for x
    x = 8,566,983,364/39,977
  6. Step 6: Final answer
    x = 214,297.81

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.