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Finding the Third Proportional to 67,380.50 and 105,384.75

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Solution

The third proportional to 67,380.50 and 105,384.75 is: 164,824.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,380.50 : 105,384.75 = 105,384.75 : x
  2. Step 2: Convert to fraction form
    67,380.50/105,384.75 = 105,384.75/x
  3. Step 3: Cross multiply
    67,380.50x = 105,384.75 × 105,384.75
  4. Step 4: Simplify right side
    67,380.50x = 11,105,945,532.56
  5. Step 5: Solve for x
    x = 11,105,945,532.56/67,380.50
  6. Step 6: Final answer
    x = 164,824.33

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.