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Finding the Third Proportional to 81,571 and 119,661

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Solution

The third proportional to 81,571 and 119,661 is: 175,537.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,571 : 119,661 = 119,661 : x
  2. Step 2: Convert to fraction form
    81,571/119,661 = 119,661/x
  3. Step 3: Cross multiply
    81,571x = 119,661 × 119,661
  4. Step 4: Simplify right side
    81,571x = 14,318,754,921
  5. Step 5: Solve for x
    x = 14,318,754,921/81,571
  6. Step 6: Final answer
    x = 175,537.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.