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Finding the Third Proportional to 39,012 and 92,058

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Solution

The third proportional to 39,012 and 92,058 is: 217,232.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,012 : 92,058 = 92,058 : x
  2. Step 2: Convert to fraction form
    39,012/92,058 = 92,058/x
  3. Step 3: Cross multiply
    39,012x = 92,058 × 92,058
  4. Step 4: Simplify right side
    39,012x = 8,474,675,364
  5. Step 5: Solve for x
    x = 8,474,675,364/39,012
  6. Step 6: Final answer
    x = 217,232.53

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.