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Finding the Third Proportional to 83,965 and 177,406

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Solution

The third proportional to 83,965 and 177,406 is: 374,833.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,965 : 177,406 = 177,406 : x
  2. Step 2: Convert to fraction form
    83,965/177,406 = 177,406/x
  3. Step 3: Cross multiply
    83,965x = 177,406 × 177,406
  4. Step 4: Simplify right side
    83,965x = 31,472,888,836
  5. Step 5: Solve for x
    x = 31,472,888,836/83,965
  6. Step 6: Final answer
    x = 374,833.43

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.