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Finding the Third Proportional to 71,181 and 106,723

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Solution

The third proportional to 71,181 and 106,723 is: 160,011.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,181 : 106,723 = 106,723 : x
  2. Step 2: Convert to fraction form
    71,181/106,723 = 106,723/x
  3. Step 3: Cross multiply
    71,181x = 106,723 × 106,723
  4. Step 4: Simplify right side
    71,181x = 11,389,798,729
  5. Step 5: Solve for x
    x = 11,389,798,729/71,181
  6. Step 6: Final answer
    x = 160,011.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.