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Finding the Third Proportional to 80,627 and 127,125

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Solution

The third proportional to 80,627 and 127,125 is: 200,438.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,627 : 127,125 = 127,125 : x
  2. Step 2: Convert to fraction form
    80,627/127,125 = 127,125/x
  3. Step 3: Cross multiply
    80,627x = 127,125 × 127,125
  4. Step 4: Simplify right side
    80,627x = 16,160,765,625
  5. Step 5: Solve for x
    x = 16,160,765,625/80,627
  6. Step 6: Final answer
    x = 200,438.63

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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.