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Finding the Third Proportional to 107,884 and 168,865

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Solution

The third proportional to 107,884 and 168,865 is: 264,315.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,884 : 168,865 = 168,865 : x
  2. Step 2: Convert to fraction form
    107,884/168,865 = 168,865/x
  3. Step 3: Cross multiply
    107,884x = 168,865 × 168,865
  4. Step 4: Simplify right side
    107,884x = 28,515,388,225
  5. Step 5: Solve for x
    x = 28,515,388,225/107,884
  6. Step 6: Final answer
    x = 264,315.27

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.