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Finding the Third Proportional to 76,711.50 and 164,084.63

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Solution

The third proportional to 76,711.50 and 164,084.63 is: 350,974.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,711.50 : 164,084.63 = 164,084.63 : x
  2. Step 2: Convert to fraction form
    76,711.50/164,084.63 = 164,084.63/x
  3. Step 3: Cross multiply
    76,711.50x = 164,084.63 × 164,084.63
  4. Step 4: Simplify right side
    76,711.50x = 26,923,764,161.39
  5. Step 5: Solve for x
    x = 26,923,764,161.39/76,711.50
  6. Step 6: Final answer
    x = 350,974.29

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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.