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Finding the Third Proportional to 80,616 and 127,107

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Solution

The third proportional to 80,616 and 127,107 is: 200,409.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,616 : 127,107 = 127,107 : x
  2. Step 2: Convert to fraction form
    80,616/127,107 = 127,107/x
  3. Step 3: Cross multiply
    80,616x = 127,107 × 127,107
  4. Step 4: Simplify right side
    80,616x = 16,156,189,449
  5. Step 5: Solve for x
    x = 16,156,189,449/80,616
  6. Step 6: Final answer
    x = 200,409.22

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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.