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Finding the Third Proportional to 128,723 and 196,914

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Solution

The third proportional to 128,723 and 196,914 is: 301,229.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,723 : 196,914 = 196,914 : x
  2. Step 2: Convert to fraction form
    128,723/196,914 = 196,914/x
  3. Step 3: Cross multiply
    128,723x = 196,914 × 196,914
  4. Step 4: Simplify right side
    128,723x = 38,775,123,396
  5. Step 5: Solve for x
    x = 38,775,123,396/128,723
  6. Step 6: Final answer
    x = 301,229.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.