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Finding the Third Proportional to 83,817 and 177,318

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Solution

The third proportional to 83,817 and 177,318 is: 375,122.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,817 : 177,318 = 177,318 : x
  2. Step 2: Convert to fraction form
    83,817/177,318 = 177,318/x
  3. Step 3: Cross multiply
    83,817x = 177,318 × 177,318
  4. Step 4: Simplify right side
    83,817x = 31,441,673,124
  5. Step 5: Solve for x
    x = 31,441,673,124/83,817
  6. Step 6: Final answer
    x = 375,122.86

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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.