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Finding the Third Proportional to 129,696 and 282,116

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Solution

The third proportional to 129,696 and 282,116 is: 613,661.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,696 : 282,116 = 282,116 : x
  2. Step 2: Convert to fraction form
    129,696/282,116 = 282,116/x
  3. Step 3: Cross multiply
    129,696x = 282,116 × 282,116
  4. Step 4: Simplify right side
    129,696x = 79,589,437,456
  5. Step 5: Solve for x
    x = 79,589,437,456/129,696
  6. Step 6: Final answer
    x = 613,661.47

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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.