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Finding the Third Proportional to 41,191 and 65,701

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Solution

The third proportional to 41,191 and 65,701 is: 104,795.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,191 : 65,701 = 65,701 : x
  2. Step 2: Convert to fraction form
    41,191/65,701 = 65,701/x
  3. Step 3: Cross multiply
    41,191x = 65,701 × 65,701
  4. Step 4: Simplify right side
    41,191x = 4,316,621,401
  5. Step 5: Solve for x
    x = 4,316,621,401/41,191
  6. Step 6: Final answer
    x = 104,795.26

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.