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Finding the Third Proportional to 41,158 and 55,166

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Solution

The third proportional to 41,158 and 55,166 is: 73,941.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,158 : 55,166 = 55,166 : x
  2. Step 2: Convert to fraction form
    41,158/55,166 = 55,166/x
  3. Step 3: Cross multiply
    41,158x = 55,166 × 55,166
  4. Step 4: Simplify right side
    41,158x = 3,043,287,556
  5. Step 5: Solve for x
    x = 3,043,287,556/41,158
  6. Step 6: Final answer
    x = 73,941.58

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.