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Finding the Third Proportional to 67,014.84 and 104,198.06

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Solution

The third proportional to 67,014.84 and 104,198.06 is: 162,012.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,014.84 : 104,198.06 = 104,198.06 : x
  2. Step 2: Convert to fraction form
    67,014.84/104,198.06 = 104,198.06/x
  3. Step 3: Cross multiply
    67,014.84x = 104,198.06 × 104,198.06
  4. Step 4: Simplify right side
    67,014.84x = 10,857,236,228.75
  5. Step 5: Solve for x
    x = 10,857,236,228.75/67,014.84
  6. Step 6: Final answer
    x = 162,012.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.