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Finding the Third Proportional to 80,001 and 123,903

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Solution

The third proportional to 80,001 and 123,903 is: 191,897.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,001 : 123,903 = 123,903 : x
  2. Step 2: Convert to fraction form
    80,001/123,903 = 123,903/x
  3. Step 3: Cross multiply
    80,001x = 123,903 × 123,903
  4. Step 4: Simplify right side
    80,001x = 15,351,953,409
  5. Step 5: Solve for x
    x = 15,351,953,409/80,001
  6. Step 6: Final answer
    x = 191,897.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.