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Finding the Third Proportional to 75,825 and 157,806

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Solution

The third proportional to 75,825 and 157,806 is: 328,423.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,825 : 157,806 = 157,806 : x
  2. Step 2: Convert to fraction form
    75,825/157,806 = 157,806/x
  3. Step 3: Cross multiply
    75,825x = 157,806 × 157,806
  4. Step 4: Simplify right side
    75,825x = 24,902,733,636
  5. Step 5: Solve for x
    x = 24,902,733,636/75,825
  6. Step 6: Final answer
    x = 328,423.79

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.