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Finding the Third Proportional to 118,794 and 252,165

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Solution

The third proportional to 118,794 and 252,165 is: 535,272.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,794 : 252,165 = 252,165 : x
  2. Step 2: Convert to fraction form
    118,794/252,165 = 252,165/x
  3. Step 3: Cross multiply
    118,794x = 252,165 × 252,165
  4. Step 4: Simplify right side
    118,794x = 63,587,187,225
  5. Step 5: Solve for x
    x = 63,587,187,225/118,794
  6. Step 6: Final answer
    x = 535,272.72

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.