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Finding the Third Proportional to 83,220 and 178,104

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Solution

The third proportional to 83,220 and 178,104 is: 381,170.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,220 : 178,104 = 178,104 : x
  2. Step 2: Convert to fraction form
    83,220/178,104 = 178,104/x
  3. Step 3: Cross multiply
    83,220x = 178,104 × 178,104
  4. Step 4: Simplify right side
    83,220x = 31,721,034,816
  5. Step 5: Solve for x
    x = 31,721,034,816/83,220
  6. Step 6: Final answer
    x = 381,170.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.