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Finding the Third Proportional to 79,884 and 115,074

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Solution

The third proportional to 79,884 and 115,074 is: 165,765.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,884 : 115,074 = 115,074 : x
  2. Step 2: Convert to fraction form
    79,884/115,074 = 115,074/x
  3. Step 3: Cross multiply
    79,884x = 115,074 × 115,074
  4. Step 4: Simplify right side
    79,884x = 13,242,025,476
  5. Step 5: Solve for x
    x = 13,242,025,476/79,884
  6. Step 6: Final answer
    x = 165,765.68

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.