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Finding the Third Proportional to 80,493 and 127,644

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Solution

The third proportional to 80,493 and 127,644 is: 202,415.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,493 : 127,644 = 127,644 : x
  2. Step 2: Convert to fraction form
    80,493/127,644 = 127,644/x
  3. Step 3: Cross multiply
    80,493x = 127,644 × 127,644
  4. Step 4: Simplify right side
    80,493x = 16,292,990,736
  5. Step 5: Solve for x
    x = 16,292,990,736/80,493
  6. Step 6: Final answer
    x = 202,415.00

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.