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Finding the Third Proportional to 71,674.88 and 100,247.63

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Solution

The third proportional to 71,674.88 and 100,247.63 is: 140,210.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,674.88 : 100,247.63 = 100,247.63 : x
  2. Step 2: Convert to fraction form
    71,674.88/100,247.63 = 100,247.63/x
  3. Step 3: Cross multiply
    71,674.88x = 100,247.63 × 100,247.63
  4. Step 4: Simplify right side
    71,674.88x = 10,049,586,318.14
  5. Step 5: Solve for x
    x = 10,049,586,318.14/71,674.88
  6. Step 6: Final answer
    x = 140,210.73

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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.