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Finding the Third Proportional to 41,771 and 98,571

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Solution

The third proportional to 41,771 and 98,571 is: 232,607.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,771 : 98,571 = 98,571 : x
  2. Step 2: Convert to fraction form
    41,771/98,571 = 98,571/x
  3. Step 3: Cross multiply
    41,771x = 98,571 × 98,571
  4. Step 4: Simplify right side
    41,771x = 9,716,242,041
  5. Step 5: Solve for x
    x = 9,716,242,041/41,771
  6. Step 6: Final answer
    x = 232,607.36

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.