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Finding the Third Proportional to 59,212 and 129,116

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Solution

The third proportional to 59,212 and 129,116 is: 281,546.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,212 : 129,116 = 129,116 : x
  2. Step 2: Convert to fraction form
    59,212/129,116 = 129,116/x
  3. Step 3: Cross multiply
    59,212x = 129,116 × 129,116
  4. Step 4: Simplify right side
    59,212x = 16,670,941,456
  5. Step 5: Solve for x
    x = 16,670,941,456/59,212
  6. Step 6: Final answer
    x = 281,546.67

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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.