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Finding the Third Proportional to 102,067 and 221,660

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Solution

The third proportional to 102,067 and 221,660 is: 481,381.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,067 : 221,660 = 221,660 : x
  2. Step 2: Convert to fraction form
    102,067/221,660 = 221,660/x
  3. Step 3: Cross multiply
    102,067x = 221,660 × 221,660
  4. Step 4: Simplify right side
    102,067x = 49,133,155,600
  5. Step 5: Solve for x
    x = 49,133,155,600/102,067
  6. Step 6: Final answer
    x = 481,381.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.