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Finding the Third Proportional to 49,579 and 96,667

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Solution

The third proportional to 49,579 and 96,667 is: 188,477.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,579 : 96,667 = 96,667 : x
  2. Step 2: Convert to fraction form
    49,579/96,667 = 96,667/x
  3. Step 3: Cross multiply
    49,579x = 96,667 × 96,667
  4. Step 4: Simplify right side
    49,579x = 9,344,508,889
  5. Step 5: Solve for x
    x = 9,344,508,889/49,579
  6. Step 6: Final answer
    x = 188,477.16

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.