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Finding the Third Proportional to 131,067 and 207,861.75

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Solution

The third proportional to 131,067 and 207,861.75 is: 329,652.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,067 : 207,861.75 = 207,861.75 : x
  2. Step 2: Convert to fraction form
    131,067/207,861.75 = 207,861.75/x
  3. Step 3: Cross multiply
    131,067x = 207,861.75 × 207,861.75
  4. Step 4: Simplify right side
    131,067x = 43,206,507,113.06
  5. Step 5: Solve for x
    x = 43,206,507,113.06/131,067
  6. Step 6: Final answer
    x = 329,652.06

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.