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Finding the Third Proportional to 76,758 and 165,180

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Solution

The third proportional to 76,758 and 165,180 is: 355,460.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,758 : 165,180 = 165,180 : x
  2. Step 2: Convert to fraction form
    76,758/165,180 = 165,180/x
  3. Step 3: Cross multiply
    76,758x = 165,180 × 165,180
  4. Step 4: Simplify right side
    76,758x = 27,284,432,400
  5. Step 5: Solve for x
    x = 27,284,432,400/76,758
  6. Step 6: Final answer
    x = 355,460.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.