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Finding the Third Proportional to 76,544 and 162,194

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Solution

The third proportional to 76,544 and 162,194 is: 343,683.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,544 : 162,194 = 162,194 : x
  2. Step 2: Convert to fraction form
    76,544/162,194 = 162,194/x
  3. Step 3: Cross multiply
    76,544x = 162,194 × 162,194
  4. Step 4: Simplify right side
    76,544x = 26,306,893,636
  5. Step 5: Solve for x
    x = 26,306,893,636/76,544
  6. Step 6: Final answer
    x = 343,683.29

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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.