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Finding the Third Proportional to 83,244 and 127,644

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Solution

The third proportional to 83,244 and 127,644 is: 195,725.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,244 : 127,644 = 127,644 : x
  2. Step 2: Convert to fraction form
    83,244/127,644 = 127,644/x
  3. Step 3: Cross multiply
    83,244x = 127,644 × 127,644
  4. Step 4: Simplify right side
    83,244x = 16,292,990,736
  5. Step 5: Solve for x
    x = 16,292,990,736/83,244
  6. Step 6: Final answer
    x = 195,725.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.