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Finding the Third Proportional to 76,649 and 167,554

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Solution

The third proportional to 76,649 and 167,554 is: 366,271.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,649 : 167,554 = 167,554 : x
  2. Step 2: Convert to fraction form
    76,649/167,554 = 167,554/x
  3. Step 3: Cross multiply
    76,649x = 167,554 × 167,554
  4. Step 4: Simplify right side
    76,649x = 28,074,342,916
  5. Step 5: Solve for x
    x = 28,074,342,916/76,649
  6. Step 6: Final answer
    x = 366,271.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.