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Finding the Third Proportional to 41,133 and 85,377

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Solution

The third proportional to 41,133 and 85,377 is: 177,211.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,133 : 85,377 = 85,377 : x
  2. Step 2: Convert to fraction form
    41,133/85,377 = 85,377/x
  3. Step 3: Cross multiply
    41,133x = 85,377 × 85,377
  4. Step 4: Simplify right side
    41,133x = 7,289,232,129
  5. Step 5: Solve for x
    x = 7,289,232,129/41,133
  6. Step 6: Final answer
    x = 177,211.29

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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.