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Finding the Third Proportional to 59,694 and 129,932

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Solution

The third proportional to 59,694 and 129,932 is: 282,814.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,694 : 129,932 = 129,932 : x
  2. Step 2: Convert to fraction form
    59,694/129,932 = 129,932/x
  3. Step 3: Cross multiply
    59,694x = 129,932 × 129,932
  4. Step 4: Simplify right side
    59,694x = 16,882,324,624
  5. Step 5: Solve for x
    x = 16,882,324,624/59,694
  6. Step 6: Final answer
    x = 282,814.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.