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Finding the Third Proportional to 59,928 and 127,616

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Solution

The third proportional to 59,928 and 127,616 is: 271,756.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,928 : 127,616 = 127,616 : x
  2. Step 2: Convert to fraction form
    59,928/127,616 = 127,616/x
  3. Step 3: Cross multiply
    59,928x = 127,616 × 127,616
  4. Step 4: Simplify right side
    59,928x = 16,285,843,456
  5. Step 5: Solve for x
    x = 16,285,843,456/59,928
  6. Step 6: Final answer
    x = 271,756.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.