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Finding the Third Proportional to 51,293 and 80,179.50

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Solution

The third proportional to 51,293 and 80,179.50 is: 125,333.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,293 : 80,179.50 = 80,179.50 : x
  2. Step 2: Convert to fraction form
    51,293/80,179.50 = 80,179.50/x
  3. Step 3: Cross multiply
    51,293x = 80,179.50 × 80,179.50
  4. Step 4: Simplify right side
    51,293x = 6,428,752,220.25
  5. Step 5: Solve for x
    x = 6,428,752,220.25/51,293
  6. Step 6: Final answer
    x = 125,333.91

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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.