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Finding the Third Proportional to 53,973 and 80,966

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Solution

The third proportional to 53,973 and 80,966 is: 121,458.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,973 : 80,966 = 80,966 : x
  2. Step 2: Convert to fraction form
    53,973/80,966 = 80,966/x
  3. Step 3: Cross multiply
    53,973x = 80,966 × 80,966
  4. Step 4: Simplify right side
    53,973x = 6,555,493,156
  5. Step 5: Solve for x
    x = 6,555,493,156/53,973
  6. Step 6: Final answer
    x = 121,458.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.