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Finding the Third Proportional to 59,896 and 129,616

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Solution

The third proportional to 59,896 and 129,616 is: 280,491.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,896 : 129,616 = 129,616 : x
  2. Step 2: Convert to fraction form
    59,896/129,616 = 129,616/x
  3. Step 3: Cross multiply
    59,896x = 129,616 × 129,616
  4. Step 4: Simplify right side
    59,896x = 16,800,307,456
  5. Step 5: Solve for x
    x = 16,800,307,456/59,896
  6. Step 6: Final answer
    x = 280,491.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.