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Finding the Third Proportional to 71,674.88 and 100,272.94

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Solution

The third proportional to 71,674.88 and 100,272.94 is: 140,281.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,674.88 : 100,272.94 = 100,272.94 : x
  2. Step 2: Convert to fraction form
    71,674.88/100,272.94 = 100,272.94/x
  3. Step 3: Cross multiply
    71,674.88x = 100,272.94 × 100,272.94
  4. Step 4: Simplify right side
    71,674.88x = 10,054,661,994.88
  5. Step 5: Solve for x
    x = 10,054,661,994.88/71,674.88
  6. Step 6: Final answer
    x = 140,281.54

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.