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Finding the Third Proportional to 76,685 and 167,312

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Solution

The third proportional to 76,685 and 167,312 is: 365,042.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,685 : 167,312 = 167,312 : x
  2. Step 2: Convert to fraction form
    76,685/167,312 = 167,312/x
  3. Step 3: Cross multiply
    76,685x = 167,312 × 167,312
  4. Step 4: Simplify right side
    76,685x = 27,993,305,344
  5. Step 5: Solve for x
    x = 27,993,305,344/76,685
  6. Step 6: Final answer
    x = 365,042.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.