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Finding the Third Proportional to 79,429 and 123,500

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Solution

The third proportional to 79,429 and 123,500 is: 192,023.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,429 : 123,500 = 123,500 : x
  2. Step 2: Convert to fraction form
    79,429/123,500 = 123,500/x
  3. Step 3: Cross multiply
    79,429x = 123,500 × 123,500
  4. Step 4: Simplify right side
    79,429x = 15,252,250,000
  5. Step 5: Solve for x
    x = 15,252,250,000/79,429
  6. Step 6: Final answer
    x = 192,023.69

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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.