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Finding the Third Proportional to 53,204 and 80,960

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Solution

The third proportional to 53,204 and 80,960 is: 123,196.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,204 : 80,960 = 80,960 : x
  2. Step 2: Convert to fraction form
    53,204/80,960 = 80,960/x
  3. Step 3: Cross multiply
    53,204x = 80,960 × 80,960
  4. Step 4: Simplify right side
    53,204x = 6,554,521,600
  5. Step 5: Solve for x
    x = 6,554,521,600/53,204
  6. Step 6: Final answer
    x = 123,196.03

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.