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Finding the Third Proportional to 53,206 and 80,963

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Solution

The third proportional to 53,206 and 80,963 is: 123,200.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,206 : 80,963 = 80,963 : x
  2. Step 2: Convert to fraction form
    53,206/80,963 = 80,963/x
  3. Step 3: Cross multiply
    53,206x = 80,963 × 80,963
  4. Step 4: Simplify right side
    53,206x = 6,555,007,369
  5. Step 5: Solve for x
    x = 6,555,007,369/53,206
  6. Step 6: Final answer
    x = 123,200.53

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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.