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Finding the Third Proportional to 41,201 and 79,121

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Solution

The third proportional to 41,201 and 79,121 is: 151,941.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,201 : 79,121 = 79,121 : x
  2. Step 2: Convert to fraction form
    41,201/79,121 = 79,121/x
  3. Step 3: Cross multiply
    41,201x = 79,121 × 79,121
  4. Step 4: Simplify right side
    41,201x = 6,260,132,641
  5. Step 5: Solve for x
    x = 6,260,132,641/41,201
  6. Step 6: Final answer
    x = 151,941.28

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.