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Finding the Third Proportional to 80,938 and 165,087.50

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Solution

The third proportional to 80,938 and 165,087.50 is: 336,725.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,938 : 165,087.50 = 165,087.50 : x
  2. Step 2: Convert to fraction form
    80,938/165,087.50 = 165,087.50/x
  3. Step 3: Cross multiply
    80,938x = 165,087.50 × 165,087.50
  4. Step 4: Simplify right side
    80,938x = 27,253,882,656.25
  5. Step 5: Solve for x
    x = 27,253,882,656.25/80,938
  6. Step 6: Final answer
    x = 336,725.43

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.