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Finding the Third Proportional to 107,821 and 168,797

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Solution

The third proportional to 107,821 and 168,797 is: 264,256.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,821 : 168,797 = 168,797 : x
  2. Step 2: Convert to fraction form
    107,821/168,797 = 168,797/x
  3. Step 3: Cross multiply
    107,821x = 168,797 × 168,797
  4. Step 4: Simplify right side
    107,821x = 28,492,427,209
  5. Step 5: Solve for x
    x = 28,492,427,209/107,821
  6. Step 6: Final answer
    x = 264,256.75

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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.