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Finding the Third Proportional to 75,309 and 160,626

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Solution

The third proportional to 75,309 and 160,626 is: 342,597.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,309 : 160,626 = 160,626 : x
  2. Step 2: Convert to fraction form
    75,309/160,626 = 160,626/x
  3. Step 3: Cross multiply
    75,309x = 160,626 × 160,626
  4. Step 4: Simplify right side
    75,309x = 25,800,711,876
  5. Step 5: Solve for x
    x = 25,800,711,876/75,309
  6. Step 6: Final answer
    x = 342,597.99

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.