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Finding the Third Proportional to 79,423 and 123,026

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Solution

The third proportional to 79,423 and 123,026 is: 190,566.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,423 : 123,026 = 123,026 : x
  2. Step 2: Convert to fraction form
    79,423/123,026 = 123,026/x
  3. Step 3: Cross multiply
    79,423x = 123,026 × 123,026
  4. Step 4: Simplify right side
    79,423x = 15,135,396,676
  5. Step 5: Solve for x
    x = 15,135,396,676/79,423
  6. Step 6: Final answer
    x = 190,566.92

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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.