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Finding the Third Proportional to 59,013 and 129,690

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Solution

The third proportional to 59,013 and 129,690 is: 285,013.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,013 : 129,690 = 129,690 : x
  2. Step 2: Convert to fraction form
    59,013/129,690 = 129,690/x
  3. Step 3: Cross multiply
    59,013x = 129,690 × 129,690
  4. Step 4: Simplify right side
    59,013x = 16,819,496,100
  5. Step 5: Solve for x
    x = 16,819,496,100/59,013
  6. Step 6: Final answer
    x = 285,013.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.