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Finding the Third Proportional to 70,866 and 108,180

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Solution

The third proportional to 70,866 and 108,180 is: 165,141.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,866 : 108,180 = 108,180 : x
  2. Step 2: Convert to fraction form
    70,866/108,180 = 108,180/x
  3. Step 3: Cross multiply
    70,866x = 108,180 × 108,180
  4. Step 4: Simplify right side
    70,866x = 11,702,912,400
  5. Step 5: Solve for x
    x = 11,702,912,400/70,866
  6. Step 6: Final answer
    x = 165,141.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.