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Finding the Third Proportional to 53,188 and 80,886

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Solution

The third proportional to 53,188 and 80,886 is: 123,007.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,188 : 80,886 = 80,886 : x
  2. Step 2: Convert to fraction form
    53,188/80,886 = 80,886/x
  3. Step 3: Cross multiply
    53,188x = 80,886 × 80,886
  4. Step 4: Simplify right side
    53,188x = 6,542,544,996
  5. Step 5: Solve for x
    x = 6,542,544,996/53,188
  6. Step 6: Final answer
    x = 123,007.92

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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.