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Finding the Third Proportional to 79,423 and 123,027

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Solution

The third proportional to 79,423 and 123,027 is: 190,570.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,423 : 123,027 = 123,027 : x
  2. Step 2: Convert to fraction form
    79,423/123,027 = 123,027/x
  3. Step 3: Cross multiply
    79,423x = 123,027 × 123,027
  4. Step 4: Simplify right side
    79,423x = 15,135,642,729
  5. Step 5: Solve for x
    x = 15,135,642,729/79,423
  6. Step 6: Final answer
    x = 190,570.02

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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.