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Finding the Third Proportional to 92,120 and 191,164

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Solution

The third proportional to 92,120 and 191,164 is: 396,696.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,120 : 191,164 = 191,164 : x
  2. Step 2: Convert to fraction form
    92,120/191,164 = 191,164/x
  3. Step 3: Cross multiply
    92,120x = 191,164 × 191,164
  4. Step 4: Simplify right side
    92,120x = 36,543,674,896
  5. Step 5: Solve for x
    x = 36,543,674,896/92,120
  6. Step 6: Final answer
    x = 396,696.43

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.