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Finding the Third Proportional to 79,431 and 123,503

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Solution

The third proportional to 79,431 and 123,503 is: 192,028.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,431 : 123,503 = 123,503 : x
  2. Step 2: Convert to fraction form
    79,431/123,503 = 123,503/x
  3. Step 3: Cross multiply
    79,431x = 123,503 × 123,503
  4. Step 4: Simplify right side
    79,431x = 15,252,991,009
  5. Step 5: Solve for x
    x = 15,252,991,009/79,431
  6. Step 6: Final answer
    x = 192,028.19

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