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Finding the Third Proportional to 80,384 and 127,383

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Solution

The third proportional to 80,384 and 127,383 is: 201,861.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,384 : 127,383 = 127,383 : x
  2. Step 2: Convert to fraction form
    80,384/127,383 = 127,383/x
  3. Step 3: Cross multiply
    80,384x = 127,383 × 127,383
  4. Step 4: Simplify right side
    80,384x = 16,226,428,689
  5. Step 5: Solve for x
    x = 16,226,428,689/80,384
  6. Step 6: Final answer
    x = 201,861.42

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.